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Finding the Fourth Proportional to 16,154.15, 22,285.87 and 9,862.88

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Solution

The fourth proportional to 16,154.15, 22,285.87 and 9,862.88 is: 13,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.15 : 22,285.87 = 9,862.88 : x
  2. Step 2: Convert to fraction form
    16,154.15/22,285.87 = 9,862.88/x
  3. Step 3: Cross multiply
    16,154.15x = 22,285.87 × 9,862.88
  4. Step 4: Simplify right side
    16,154.15x = 219,802,725.42
  5. Step 5: Solve for x
    x = 219,802,725.42/16,154.15
  6. Step 6: Final answer
    x = 13,606.58

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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.