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Finding the Fourth Proportional to 22,708.68, 31,310.78 and 14,748

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Solution

The fourth proportional to 22,708.68, 31,310.78 and 14,748 is: 20,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.68 : 31,310.78 = 14,748 : x
  2. Step 2: Convert to fraction form
    22,708.68/31,310.78 = 14,748/x
  3. Step 3: Cross multiply
    22,708.68x = 31,310.78 × 14,748
  4. Step 4: Simplify right side
    22,708.68x = 461,771,309.70
  5. Step 5: Solve for x
    x = 461,771,309.70/22,708.68
  6. Step 6: Final answer
    x = 20,334.57

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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.