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Finding the Fourth Proportional to 22,756.68, 31,403.90 and 12,684.94

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Solution

The fourth proportional to 22,756.68, 31,403.90 and 12,684.94 is: 17,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.68 : 31,403.90 = 12,684.94 : x
  2. Step 2: Convert to fraction form
    22,756.68/31,403.90 = 12,684.94/x
  3. Step 3: Cross multiply
    22,756.68x = 31,403.90 × 12,684.94
  4. Step 4: Simplify right side
    22,756.68x = 398,356,540.47
  5. Step 5: Solve for x
    x = 398,356,540.47/22,756.68
  6. Step 6: Final answer
    x = 17,505.04

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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.