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Finding the Fourth Proportional to 14,342.47, 21,513.60 and 8,494.88

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Solution

The fourth proportional to 14,342.47, 21,513.60 and 8,494.88 is: 12,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.47 : 21,513.60 = 8,494.88 : x
  2. Step 2: Convert to fraction form
    14,342.47/21,513.60 = 8,494.88/x
  3. Step 3: Cross multiply
    14,342.47x = 21,513.60 × 8,494.88
  4. Step 4: Simplify right side
    14,342.47x = 182,755,342.80
  5. Step 5: Solve for x
    x = 182,755,342.80/14,342.47
  6. Step 6: Final answer
    x = 12,742.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.