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Finding the Fourth Proportional to 16,262.68, 24,393.90 and 4,575.82

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Solution

The fourth proportional to 16,262.68, 24,393.90 and 4,575.82 is: 6,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.68 : 24,393.90 = 4,575.82 : x
  2. Step 2: Convert to fraction form
    16,262.68/24,393.90 = 4,575.82/x
  3. Step 3: Cross multiply
    16,262.68x = 24,393.90 × 4,575.82
  4. Step 4: Simplify right side
    16,262.68x = 111,622,095.50
  5. Step 5: Solve for x
    x = 111,622,095.50/16,262.68
  6. Step 6: Final answer
    x = 6,863.70

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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.