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Finding the Fourth Proportional to 23,290.92, 32,141.70 and 13,353

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Solution

The fourth proportional to 23,290.92, 32,141.70 and 13,353 is: 18,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.92 : 32,141.70 = 13,353 : x
  2. Step 2: Convert to fraction form
    23,290.92/32,141.70 = 13,353/x
  3. Step 3: Cross multiply
    23,290.92x = 32,141.70 × 13,353
  4. Step 4: Simplify right side
    23,290.92x = 429,188,120.10
  5. Step 5: Solve for x
    x = 429,188,120.10/23,290.92
  6. Step 6: Final answer
    x = 18,427.27

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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.