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Finding the Fourth Proportional to 22,666, 31,279.10 and 12,730

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Solution

The fourth proportional to 22,666, 31,279.10 and 12,730 is: 17,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666 : 31,279.10 = 12,730 : x
  2. Step 2: Convert to fraction form
    22,666/31,279.10 = 12,730/x
  3. Step 3: Cross multiply
    22,666x = 31,279.10 × 12,730
  4. Step 4: Simplify right side
    22,666x = 398,182,943
  5. Step 5: Solve for x
    x = 398,182,943/22,666
  6. Step 6: Final answer
    x = 17,567.41

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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.