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Finding the Fourth Proportional to 16,264.22, 24,390.20 and 6,398.10

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Solution

The fourth proportional to 16,264.22, 24,390.20 and 6,398.10 is: 9,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.22 : 24,390.20 = 6,398.10 : x
  2. Step 2: Convert to fraction form
    16,264.22/24,390.20 = 6,398.10/x
  3. Step 3: Cross multiply
    16,264.22x = 24,390.20 × 6,398.10
  4. Step 4: Simplify right side
    16,264.22x = 156,050,938.62
  5. Step 5: Solve for x
    x = 156,050,938.62/16,264.22
  6. Step 6: Final answer
    x = 9,594.74

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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.