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Finding the Fourth Proportional to 10,353.99, 15,532.89 and 9,414.99

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Solution

The fourth proportional to 10,353.99, 15,532.89 and 9,414.99 is: 14,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.99 : 15,532.89 = 9,414.99 : x
  2. Step 2: Convert to fraction form
    10,353.99/15,532.89 = 9,414.99/x
  3. Step 3: Cross multiply
    10,353.99x = 15,532.89 × 9,414.99
  4. Step 4: Simplify right side
    10,353.99x = 146,242,004.02
  5. Step 5: Solve for x
    x = 146,242,004.02/10,353.99
  6. Step 6: Final answer
    x = 14,124.22

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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.