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Finding the Fourth Proportional to 10,038.50, 15,024.17 and 9,905.74

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Solution

The fourth proportional to 10,038.50, 15,024.17 and 9,905.74 is: 14,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.50 : 15,024.17 = 9,905.74 : x
  2. Step 2: Convert to fraction form
    10,038.50/15,024.17 = 9,905.74/x
  3. Step 3: Cross multiply
    10,038.50x = 15,024.17 × 9,905.74
  4. Step 4: Simplify right side
    10,038.50x = 148,825,521.74
  5. Step 5: Solve for x
    x = 148,825,521.74/10,038.50
  6. Step 6: Final answer
    x = 14,825.47

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