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Finding the Fourth Proportional to 12,784,192.80, 19,176,697.80 and 5,002,798.71

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Solution

The fourth proportional to 12,784,192.80, 19,176,697.80 and 5,002,798.71 is: 7,504,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784,192.80 : 19,176,697.80 = 5,002,798.71 : x
  2. Step 2: Convert to fraction form
    12,784,192.80/19,176,697.80 = 5,002,798.71/x
  3. Step 3: Cross multiply
    12,784,192.80x = 19,176,697.80 × 5,002,798.71
  4. Step 4: Simplify right side
    12,784,192.80x = 95,937,159,015,899.84
  5. Step 5: Solve for x
    x = 95,937,159,015,899.84/12,784,192.80
  6. Step 6: Final answer
    x = 7,504,357.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.