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Finding the Fourth Proportional to 24,159.16, 33,324.30 and 17,454.64

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Solution

The fourth proportional to 24,159.16, 33,324.30 and 17,454.64 is: 24,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.16 : 33,324.30 = 17,454.64 : x
  2. Step 2: Convert to fraction form
    24,159.16/33,324.30 = 17,454.64/x
  3. Step 3: Cross multiply
    24,159.16x = 33,324.30 × 17,454.64
  4. Step 4: Simplify right side
    24,159.16x = 581,663,659.75
  5. Step 5: Solve for x
    x = 581,663,659.75/24,159.16
  6. Step 6: Final answer
    x = 24,076.32

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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.