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Finding the Fourth Proportional to 29,188.85, 40,273.18 and 17,854.20

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Solution

The fourth proportional to 29,188.85, 40,273.18 and 17,854.20 is: 24,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.85 : 40,273.18 = 17,854.20 : x
  2. Step 2: Convert to fraction form
    29,188.85/40,273.18 = 17,854.20/x
  3. Step 3: Cross multiply
    29,188.85x = 40,273.18 × 17,854.20
  4. Step 4: Simplify right side
    29,188.85x = 719,045,410.36
  5. Step 5: Solve for x
    x = 719,045,410.36/29,188.85
  6. Step 6: Final answer
    x = 24,634.25

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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.