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Finding the Fourth Proportional to 16,131.17, 24,205.95 and 6,269.16

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Solution

The fourth proportional to 16,131.17, 24,205.95 and 6,269.16 is: 9,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.17 : 24,205.95 = 6,269.16 : x
  2. Step 2: Convert to fraction form
    16,131.17/24,205.95 = 6,269.16/x
  3. Step 3: Cross multiply
    16,131.17x = 24,205.95 × 6,269.16
  4. Step 4: Simplify right side
    16,131.17x = 151,750,973.50
  5. Step 5: Solve for x
    x = 151,750,973.50/16,131.17
  6. Step 6: Final answer
    x = 9,407.32

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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.