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Finding the Fourth Proportional to 22,710.27, 31,341.64 and 12,638.68

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Solution

The fourth proportional to 22,710.27, 31,341.64 and 12,638.68 is: 17,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.27 : 31,341.64 = 12,638.68 : x
  2. Step 2: Convert to fraction form
    22,710.27/31,341.64 = 12,638.68/x
  3. Step 3: Cross multiply
    22,710.27x = 31,341.64 × 12,638.68
  4. Step 4: Simplify right side
    22,710.27x = 396,116,966.85
  5. Step 5: Solve for x
    x = 396,116,966.85/22,710.27
  6. Step 6: Final answer
    x = 17,442.20

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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.