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Finding the Fourth Proportional to 22,714.40, 31,345.64 and 12,642.66

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Solution

The fourth proportional to 22,714.40, 31,345.64 and 12,642.66 is: 17,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.40 : 31,345.64 = 12,642.66 : x
  2. Step 2: Convert to fraction form
    22,714.40/31,345.64 = 12,642.66/x
  3. Step 3: Cross multiply
    22,714.40x = 31,345.64 × 12,642.66
  4. Step 4: Simplify right side
    22,714.40x = 396,292,269.00
  5. Step 5: Solve for x
    x = 396,292,269.00/22,714.40
  6. Step 6: Final answer
    x = 17,446.74

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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.