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Finding the Fourth Proportional to 16,285.63, 22,474.68 and 9,211.59

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Solution

The fourth proportional to 16,285.63, 22,474.68 and 9,211.59 is: 12,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.63 : 22,474.68 = 9,211.59 : x
  2. Step 2: Convert to fraction form
    16,285.63/22,474.68 = 9,211.59/x
  3. Step 3: Cross multiply
    16,285.63x = 22,474.68 × 9,211.59
  4. Step 4: Simplify right side
    16,285.63x = 207,027,587.28
  5. Step 5: Solve for x
    x = 207,027,587.28/16,285.63
  6. Step 6: Final answer
    x = 12,712.29

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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.