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Finding the Fourth Proportional to 23,229.72, 32,070.30 and 15,295

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Solution

The fourth proportional to 23,229.72, 32,070.30 and 15,295 is: 21,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.72 : 32,070.30 = 15,295 : x
  2. Step 2: Convert to fraction form
    23,229.72/32,070.30 = 15,295/x
  3. Step 3: Cross multiply
    23,229.72x = 32,070.30 × 15,295
  4. Step 4: Simplify right side
    23,229.72x = 490,515,238.50
  5. Step 5: Solve for x
    x = 490,515,238.50/23,229.72
  6. Step 6: Final answer
    x = 21,115.85

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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.