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Finding the Fourth Proportional to 17,652.80, 24,382.14 and 14,080.16

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Solution

The fourth proportional to 17,652.80, 24,382.14 and 14,080.16 is: 19,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.80 : 24,382.14 = 14,080.16 : x
  2. Step 2: Convert to fraction form
    17,652.80/24,382.14 = 14,080.16/x
  3. Step 3: Cross multiply
    17,652.80x = 24,382.14 × 14,080.16
  4. Step 4: Simplify right side
    17,652.80x = 343,304,432.34
  5. Step 5: Solve for x
    x = 343,304,432.34/17,652.80
  6. Step 6: Final answer
    x = 19,447.59

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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.