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Finding the Fourth Proportional to 29,159.28, 40,238.64 and 17,824.77

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Solution

The fourth proportional to 29,159.28, 40,238.64 and 17,824.77 is: 24,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.28 : 40,238.64 = 17,824.77 : x
  2. Step 2: Convert to fraction form
    29,159.28/40,238.64 = 17,824.77/x
  3. Step 3: Cross multiply
    29,159.28x = 40,238.64 × 17,824.77
  4. Step 4: Simplify right side
    29,159.28x = 717,244,503.11
  5. Step 5: Solve for x
    x = 717,244,503.11/29,159.28
  6. Step 6: Final answer
    x = 24,597.47

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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.