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Finding the Fourth Proportional to 10,050.29, 15,002.24 and 9,309.14

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Solution

The fourth proportional to 10,050.29, 15,002.24 and 9,309.14 is: 13,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.29 : 15,002.24 = 9,309.14 : x
  2. Step 2: Convert to fraction form
    10,050.29/15,002.24 = 9,309.14/x
  3. Step 3: Cross multiply
    10,050.29x = 15,002.24 × 9,309.14
  4. Step 4: Simplify right side
    10,050.29x = 139,657,952.47
  5. Step 5: Solve for x
    x = 139,657,952.47/10,050.29
  6. Step 6: Final answer
    x = 13,895.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.