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Finding the Fourth Proportional to 29,702.67, 40,989.68 and 17,768.81

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Solution

The fourth proportional to 29,702.67, 40,989.68 and 17,768.81 is: 24,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.67 : 40,989.68 = 17,768.81 : x
  2. Step 2: Convert to fraction form
    29,702.67/40,989.68 = 17,768.81/x
  3. Step 3: Cross multiply
    29,702.67x = 40,989.68 × 17,768.81
  4. Step 4: Simplify right side
    29,702.67x = 728,337,747.04
  5. Step 5: Solve for x
    x = 728,337,747.04/29,702.67
  6. Step 6: Final answer
    x = 24,520.95

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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.