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Finding the Fourth Proportional to 28,350, 42,525.36 and 9,882

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Solution

The fourth proportional to 28,350, 42,525.36 and 9,882 is: 14,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,350 : 42,525.36 = 9,882 : x
  2. Step 2: Convert to fraction form
    28,350/42,525.36 = 9,882/x
  3. Step 3: Cross multiply
    28,350x = 42,525.36 × 9,882
  4. Step 4: Simplify right side
    28,350x = 420,235,607.52
  5. Step 5: Solve for x
    x = 420,235,607.52/28,350
  6. Step 6: Final answer
    x = 14,823.13

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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.