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Finding the Fourth Proportional to 31,638.08, 43,658.82 and 17,490

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Solution

The fourth proportional to 31,638.08, 43,658.82 and 17,490 is: 24,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.08 : 43,658.82 = 17,490 : x
  2. Step 2: Convert to fraction form
    31,638.08/43,658.82 = 17,490/x
  3. Step 3: Cross multiply
    31,638.08x = 43,658.82 × 17,490
  4. Step 4: Simplify right side
    31,638.08x = 763,592,761.80
  5. Step 5: Solve for x
    x = 763,592,761.80/31,638.08
  6. Step 6: Final answer
    x = 24,135.25

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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.