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Finding the Fourth Proportional to 23,059.52, 31,788.96 and 16,424

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Solution

The fourth proportional to 23,059.52, 31,788.96 and 16,424 is: 22,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.52 : 31,788.96 = 16,424 : x
  2. Step 2: Convert to fraction form
    23,059.52/31,788.96 = 16,424/x
  3. Step 3: Cross multiply
    23,059.52x = 31,788.96 × 16,424
  4. Step 4: Simplify right side
    23,059.52x = 522,101,879.04
  5. Step 5: Solve for x
    x = 522,101,879.04/23,059.52
  6. Step 6: Final answer
    x = 22,641.49

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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.