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Finding the Fourth Proportional to 21,658.98, 29,894.13 and 13,711.80

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Solution

The fourth proportional to 21,658.98, 29,894.13 and 13,711.80 is: 18,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.98 : 29,894.13 = 13,711.80 : x
  2. Step 2: Convert to fraction form
    21,658.98/29,894.13 = 13,711.80/x
  3. Step 3: Cross multiply
    21,658.98x = 29,894.13 × 13,711.80
  4. Step 4: Simplify right side
    21,658.98x = 409,902,331.73
  5. Step 5: Solve for x
    x = 409,902,331.73/21,658.98
  6. Step 6: Final answer
    x = 18,925.28

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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.