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Finding the Fourth Proportional to 22,758.54, 31,403.70 and 12,685.80

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Solution

The fourth proportional to 22,758.54, 31,403.70 and 12,685.80 is: 17,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.54 : 31,403.70 = 12,685.80 : x
  2. Step 2: Convert to fraction form
    22,758.54/31,403.70 = 12,685.80/x
  3. Step 3: Cross multiply
    22,758.54x = 31,403.70 × 12,685.80
  4. Step 4: Simplify right side
    22,758.54x = 398,381,057.46
  5. Step 5: Solve for x
    x = 398,381,057.46/22,758.54
  6. Step 6: Final answer
    x = 17,504.68

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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.