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Finding the Fourth Proportional to 22,557.60, 31,142 and 13,607.36

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Solution

The fourth proportional to 22,557.60, 31,142 and 13,607.36 is: 18,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.60 : 31,142 = 13,607.36 : x
  2. Step 2: Convert to fraction form
    22,557.60/31,142 = 13,607.36/x
  3. Step 3: Cross multiply
    22,557.60x = 31,142 × 13,607.36
  4. Step 4: Simplify right side
    22,557.60x = 423,760,405.12
  5. Step 5: Solve for x
    x = 423,760,405.12/22,557.60
  6. Step 6: Final answer
    x = 18,785.70

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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.