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Finding the Fourth Proportional to 22,638.58, 31,240.65 and 12,566.76

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Solution

The fourth proportional to 22,638.58, 31,240.65 and 12,566.76 is: 17,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.58 : 31,240.65 = 12,566.76 : x
  2. Step 2: Convert to fraction form
    22,638.58/31,240.65 = 12,566.76/x
  3. Step 3: Cross multiply
    22,638.58x = 31,240.65 × 12,566.76
  4. Step 4: Simplify right side
    22,638.58x = 392,593,594.59
  5. Step 5: Solve for x
    x = 392,593,594.59/22,638.58
  6. Step 6: Final answer
    x = 17,341.79

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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.