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Finding the Fourth Proportional to 15,905.13, 23,857.54 and 9,666.86

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Solution

The fourth proportional to 15,905.13, 23,857.54 and 9,666.86 is: 14,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.13 : 23,857.54 = 9,666.86 : x
  2. Step 2: Convert to fraction form
    15,905.13/23,857.54 = 9,666.86/x
  3. Step 3: Cross multiply
    15,905.13x = 23,857.54 × 9,666.86
  4. Step 4: Simplify right side
    15,905.13x = 230,627,489.87
  5. Step 5: Solve for x
    x = 230,627,489.87/15,905.13
  6. Step 6: Final answer
    x = 14,500.20

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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.