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Finding the Fourth Proportional to 23,892.70, 35,834.85 and 9,102.51

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Solution

The fourth proportional to 23,892.70, 35,834.85 and 9,102.51 is: 13,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.70 : 35,834.85 = 9,102.51 : x
  2. Step 2: Convert to fraction form
    23,892.70/35,834.85 = 9,102.51/x
  3. Step 3: Cross multiply
    23,892.70x = 35,834.85 × 9,102.51
  4. Step 4: Simplify right side
    23,892.70x = 326,186,901.30
  5. Step 5: Solve for x
    x = 326,186,901.30/23,892.70
  6. Step 6: Final answer
    x = 13,652.16

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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.