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Finding the Fourth Proportional to 29,523.64, 40,721.78 and 17,577.72

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Solution

The fourth proportional to 29,523.64, 40,721.78 and 17,577.72 is: 24,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523.64 : 40,721.78 = 17,577.72 : x
  2. Step 2: Convert to fraction form
    29,523.64/40,721.78 = 17,577.72/x
  3. Step 3: Cross multiply
    29,523.64x = 40,721.78 × 17,577.72
  4. Step 4: Simplify right side
    29,523.64x = 715,796,046.74
  5. Step 5: Solve for x
    x = 715,796,046.74/29,523.64
  6. Step 6: Final answer
    x = 24,244.84

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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.