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Finding the Fourth Proportional to 21,261.80, 29,344.88 and 12,314.74

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Solution

The fourth proportional to 21,261.80, 29,344.88 and 12,314.74 is: 16,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.80 : 29,344.88 = 12,314.74 : x
  2. Step 2: Convert to fraction form
    21,261.80/29,344.88 = 12,314.74/x
  3. Step 3: Cross multiply
    21,261.80x = 29,344.88 × 12,314.74
  4. Step 4: Simplify right side
    21,261.80x = 361,374,432.60
  5. Step 5: Solve for x
    x = 361,374,432.60/21,261.80
  6. Step 6: Final answer
    x = 16,996.42

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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.