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Finding the Fourth Proportional to 16,562.14, 22,856.55 and 9,488.58

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Solution

The fourth proportional to 16,562.14, 22,856.55 and 9,488.58 is: 13,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.14 : 22,856.55 = 9,488.58 : x
  2. Step 2: Convert to fraction form
    16,562.14/22,856.55 = 9,488.58/x
  3. Step 3: Cross multiply
    16,562.14x = 22,856.55 × 9,488.58
  4. Step 4: Simplify right side
    16,562.14x = 216,876,203.20
  5. Step 5: Solve for x
    x = 216,876,203.20/16,562.14
  6. Step 6: Final answer
    x = 13,094.70

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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.