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Finding the Fourth Proportional to 23,617.80, 32,589.54 and 13,547.88

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Solution

The fourth proportional to 23,617.80, 32,589.54 and 13,547.88 is: 18,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.80 : 32,589.54 = 13,547.88 : x
  2. Step 2: Convert to fraction form
    23,617.80/32,589.54 = 13,547.88/x
  3. Step 3: Cross multiply
    23,617.80x = 32,589.54 × 13,547.88
  4. Step 4: Simplify right side
    23,617.80x = 441,519,177.18
  5. Step 5: Solve for x
    x = 441,519,177.18/23,617.80
  6. Step 6: Final answer
    x = 18,694.34

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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.