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Finding the Fourth Proportional to 22,930.17, 31,642.49 and 13,498.13

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Solution

The fourth proportional to 22,930.17, 31,642.49 and 13,498.13 is: 18,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.17 : 31,642.49 = 13,498.13 : x
  2. Step 2: Convert to fraction form
    22,930.17/31,642.49 = 13,498.13/x
  3. Step 3: Cross multiply
    22,930.17x = 31,642.49 × 13,498.13
  4. Step 4: Simplify right side
    22,930.17x = 427,114,217.84
  5. Step 5: Solve for x
    x = 427,114,217.84/22,930.17
  6. Step 6: Final answer
    x = 18,626.74

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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.