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Finding the Fourth Proportional to 21,117.62, 29,137.76 and 13,463.80

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Solution

The fourth proportional to 21,117.62, 29,137.76 and 13,463.80 is: 18,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.62 : 29,137.76 = 13,463.80 : x
  2. Step 2: Convert to fraction form
    21,117.62/29,137.76 = 13,463.80/x
  3. Step 3: Cross multiply
    21,117.62x = 29,137.76 × 13,463.80
  4. Step 4: Simplify right side
    21,117.62x = 392,304,973.09
  5. Step 5: Solve for x
    x = 392,304,973.09/21,117.62
  6. Step 6: Final answer
    x = 18,577.14

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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.