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Finding the Fourth Proportional to 23,564.32, 35,344.65 and 13,697.30

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Solution

The fourth proportional to 23,564.32, 35,344.65 and 13,697.30 is: 20,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.32 : 35,344.65 = 13,697.30 : x
  2. Step 2: Convert to fraction form
    23,564.32/35,344.65 = 13,697.30/x
  3. Step 3: Cross multiply
    23,564.32x = 35,344.65 × 13,697.30
  4. Step 4: Simplify right side
    23,564.32x = 484,126,414.17
  5. Step 5: Solve for x
    x = 484,126,414.17/23,564.32
  6. Step 6: Final answer
    x = 20,544.89

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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.