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Finding the Fourth Proportional to 22,909.67, 31,614.81 and 13,478.84

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Solution

The fourth proportional to 22,909.67, 31,614.81 and 13,478.84 is: 18,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.67 : 31,614.81 = 13,478.84 : x
  2. Step 2: Convert to fraction form
    22,909.67/31,614.81 = 13,478.84/x
  3. Step 3: Cross multiply
    22,909.67x = 31,614.81 × 13,478.84
  4. Step 4: Simplify right side
    22,909.67x = 426,130,965.62
  5. Step 5: Solve for x
    x = 426,130,965.62/22,909.67
  6. Step 6: Final answer
    x = 18,600.48

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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.