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Finding the Fourth Proportional to 16,267.26, 24,384.43 and 6,402.68

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Solution

The fourth proportional to 16,267.26, 24,384.43 and 6,402.68 is: 9,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.26 : 24,384.43 = 6,402.68 : x
  2. Step 2: Convert to fraction form
    16,267.26/24,384.43 = 6,402.68/x
  3. Step 3: Cross multiply
    16,267.26x = 24,384.43 × 6,402.68
  4. Step 4: Simplify right side
    16,267.26x = 156,125,702.27
  5. Step 5: Solve for x
    x = 156,125,702.27/16,267.26
  6. Step 6: Final answer
    x = 9,597.54

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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.