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Finding the Fourth Proportional to 16,234.16, 24,352.33 and 5,702.90

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Solution

The fourth proportional to 16,234.16, 24,352.33 and 5,702.90 is: 8,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.16 : 24,352.33 = 5,702.90 : x
  2. Step 2: Convert to fraction form
    16,234.16/24,352.33 = 5,702.90/x
  3. Step 3: Cross multiply
    16,234.16x = 24,352.33 × 5,702.90
  4. Step 4: Simplify right side
    16,234.16x = 138,878,902.76
  5. Step 5: Solve for x
    x = 138,878,902.76/16,234.16
  6. Step 6: Final answer
    x = 8,554.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.