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Finding the Fourth Proportional to 19,287.42, 28,923.57 and 6,804.78

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Solution

The fourth proportional to 19,287.42, 28,923.57 and 6,804.78 is: 10,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287.42 : 28,923.57 = 6,804.78 : x
  2. Step 2: Convert to fraction form
    19,287.42/28,923.57 = 6,804.78/x
  3. Step 3: Cross multiply
    19,287.42x = 28,923.57 × 6,804.78
  4. Step 4: Simplify right side
    19,287.42x = 196,818,530.66
  5. Step 5: Solve for x
    x = 196,818,530.66/19,287.42
  6. Step 6: Final answer
    x = 10,204.50

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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.