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Finding the Fourth Proportional to 16,127.76, 22,258.72 and 9,843.78

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Solution

The fourth proportional to 16,127.76, 22,258.72 and 9,843.78 is: 13,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.76 : 22,258.72 = 9,843.78 : x
  2. Step 2: Convert to fraction form
    16,127.76/22,258.72 = 9,843.78/x
  3. Step 3: Cross multiply
    16,127.76x = 22,258.72 × 9,843.78
  4. Step 4: Simplify right side
    16,127.76x = 219,109,942.76
  5. Step 5: Solve for x
    x = 219,109,942.76/16,127.76
  6. Step 6: Final answer
    x = 13,585.89

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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.