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Finding the Fourth Proportional to 16,432.68, 24,649.20 and 4,746

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Solution

The fourth proportional to 16,432.68, 24,649.20 and 4,746 is: 7,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.68 : 24,649.20 = 4,746 : x
  2. Step 2: Convert to fraction form
    16,432.68/24,649.20 = 4,746/x
  3. Step 3: Cross multiply
    16,432.68x = 24,649.20 × 4,746
  4. Step 4: Simplify right side
    16,432.68x = 116,985,103.20
  5. Step 5: Solve for x
    x = 116,985,103.20/16,432.68
  6. Step 6: Final answer
    x = 7,119.05

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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.