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Finding the Fourth Proportional to 16,262, 24,378.52 and 5,871.44

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Solution

The fourth proportional to 16,262, 24,378.52 and 5,871.44 is: 8,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262 : 24,378.52 = 5,871.44 : x
  2. Step 2: Convert to fraction form
    16,262/24,378.52 = 5,871.44/x
  3. Step 3: Cross multiply
    16,262x = 24,378.52 × 5,871.44
  4. Step 4: Simplify right side
    16,262x = 143,137,017.47
  5. Step 5: Solve for x
    x = 143,137,017.47/16,262
  6. Step 6: Final answer
    x = 8,801.93

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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.