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Finding the Fourth Proportional to 21,658.23, 29,876.97 and 13,686.63

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Solution

The fourth proportional to 21,658.23, 29,876.97 and 13,686.63 is: 18,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.23 : 29,876.97 = 13,686.63 : x
  2. Step 2: Convert to fraction form
    21,658.23/29,876.97 = 13,686.63/x
  3. Step 3: Cross multiply
    21,658.23x = 29,876.97 × 13,686.63
  4. Step 4: Simplify right side
    21,658.23x = 408,915,033.91
  5. Step 5: Solve for x
    x = 408,915,033.91/21,658.23
  6. Step 6: Final answer
    x = 18,880.35

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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.