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Finding the Fourth Proportional to 22,638.19, 31,239.14 and 12,565.84

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Solution

The fourth proportional to 22,638.19, 31,239.14 and 12,565.84 is: 17,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.19 : 31,239.14 = 12,565.84 : x
  2. Step 2: Convert to fraction form
    22,638.19/31,239.14 = 12,565.84/x
  3. Step 3: Cross multiply
    22,638.19x = 31,239.14 × 12,565.84
  4. Step 4: Simplify right side
    22,638.19x = 392,545,947.06
  5. Step 5: Solve for x
    x = 392,545,947.06/22,638.19
  6. Step 6: Final answer
    x = 17,339.99

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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.