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Finding the Fourth Proportional to 29,902.32, 41,264.67 and 16,474.81

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Solution

The fourth proportional to 29,902.32, 41,264.67 and 16,474.81 is: 22,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.32 : 41,264.67 = 16,474.81 : x
  2. Step 2: Convert to fraction form
    29,902.32/41,264.67 = 16,474.81/x
  3. Step 3: Cross multiply
    29,902.32x = 41,264.67 × 16,474.81
  4. Step 4: Simplify right side
    29,902.32x = 679,827,597.96
  5. Step 5: Solve for x
    x = 679,827,597.96/29,902.32
  6. Step 6: Final answer
    x = 22,734.94

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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.