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Finding the Fourth Proportional to 22,758.90, 31,403.46 and 12,685.14

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Solution

The fourth proportional to 22,758.90, 31,403.46 and 12,685.14 is: 17,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.90 : 31,403.46 = 12,685.14 : x
  2. Step 2: Convert to fraction form
    22,758.90/31,403.46 = 12,685.14/x
  3. Step 3: Cross multiply
    22,758.90x = 31,403.46 × 12,685.14
  4. Step 4: Simplify right side
    22,758.90x = 398,357,286.58
  5. Step 5: Solve for x
    x = 398,357,286.58/22,758.90
  6. Step 6: Final answer
    x = 17,503.36

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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.