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Finding the Fourth Proportional to 16,116.54, 24,173 and 6,262.90

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Solution

The fourth proportional to 16,116.54, 24,173 and 6,262.90 is: 9,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.54 : 24,173 = 6,262.90 : x
  2. Step 2: Convert to fraction form
    16,116.54/24,173 = 6,262.90/x
  3. Step 3: Cross multiply
    16,116.54x = 24,173 × 6,262.90
  4. Step 4: Simplify right side
    16,116.54x = 151,393,081.70
  5. Step 5: Solve for x
    x = 151,393,081.70/16,116.54
  6. Step 6: Final answer
    x = 9,393.65

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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.