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Finding the Fourth Proportional to 23,709.12, 32,715.78 and 13,098.12

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Solution

The fourth proportional to 23,709.12, 32,715.78 and 13,098.12 is: 18,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.12 : 32,715.78 = 13,098.12 : x
  2. Step 2: Convert to fraction form
    23,709.12/32,715.78 = 13,098.12/x
  3. Step 3: Cross multiply
    23,709.12x = 32,715.78 × 13,098.12
  4. Step 4: Simplify right side
    23,709.12x = 428,515,048.75
  5. Step 5: Solve for x
    x = 428,515,048.75/23,709.12
  6. Step 6: Final answer
    x = 18,073.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.