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Finding the Fourth Proportional to 16,113, 24,169.50 and 5,725.16

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Solution

The fourth proportional to 16,113, 24,169.50 and 5,725.16 is: 8,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113 : 24,169.50 = 5,725.16 : x
  2. Step 2: Convert to fraction form
    16,113/24,169.50 = 5,725.16/x
  3. Step 3: Cross multiply
    16,113x = 24,169.50 × 5,725.16
  4. Step 4: Simplify right side
    16,113x = 138,374,254.62
  5. Step 5: Solve for x
    x = 138,374,254.62/16,113
  6. Step 6: Final answer
    x = 8,587.74

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Why These Related Problems?

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