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Finding the Fourth Proportional to 22,909.59, 31,617.24 and 13,348.98

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Solution

The fourth proportional to 22,909.59, 31,617.24 and 13,348.98 is: 18,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.59 : 31,617.24 = 13,348.98 : x
  2. Step 2: Convert to fraction form
    22,909.59/31,617.24 = 13,348.98/x
  3. Step 3: Cross multiply
    22,909.59x = 31,617.24 × 13,348.98
  4. Step 4: Simplify right side
    22,909.59x = 422,057,679.58
  5. Step 5: Solve for x
    x = 422,057,679.58/22,909.59
  6. Step 6: Final answer
    x = 18,422.76

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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.