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Finding the Fourth Proportional to 23,248.74, 32,083.17 and 12,638.40

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Solution

The fourth proportional to 23,248.74, 32,083.17 and 12,638.40 is: 17,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248.74 : 32,083.17 = 12,638.40 : x
  2. Step 2: Convert to fraction form
    23,248.74/32,083.17 = 12,638.40/x
  3. Step 3: Cross multiply
    23,248.74x = 32,083.17 × 12,638.40
  4. Step 4: Simplify right side
    23,248.74x = 405,479,935.73
  5. Step 5: Solve for x
    x = 405,479,935.73/23,248.74
  6. Step 6: Final answer
    x = 17,440.94

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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.