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Finding the Fourth Proportional to 23,617.88, 32,593.68 and 13,549.16

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Solution

The fourth proportional to 23,617.88, 32,593.68 and 13,549.16 is: 18,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.88 : 32,593.68 = 13,549.16 : x
  2. Step 2: Convert to fraction form
    23,617.88/32,593.68 = 13,549.16/x
  3. Step 3: Cross multiply
    23,617.88x = 32,593.68 × 13,549.16
  4. Step 4: Simplify right side
    23,617.88x = 441,616,985.31
  5. Step 5: Solve for x
    x = 441,616,985.31/23,617.88
  6. Step 6: Final answer
    x = 18,698.42

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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.