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Finding the Fourth Proportional to 12,699.07, 19,050.38 and 5,301.84

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Solution

The fourth proportional to 12,699.07, 19,050.38 and 5,301.84 is: 7,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.07 : 19,050.38 = 5,301.84 : x
  2. Step 2: Convert to fraction form
    12,699.07/19,050.38 = 5,301.84/x
  3. Step 3: Cross multiply
    12,699.07x = 19,050.38 × 5,301.84
  4. Step 4: Simplify right side
    12,699.07x = 101,002,066.70
  5. Step 5: Solve for x
    x = 101,002,066.70/12,699.07
  6. Step 6: Final answer
    x = 7,953.50

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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.