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Finding the Fourth Proportional to 24,823.80, 34,251.12 and 15,387.84

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Solution

The fourth proportional to 24,823.80, 34,251.12 and 15,387.84 is: 21,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.80 : 34,251.12 = 15,387.84 : x
  2. Step 2: Convert to fraction form
    24,823.80/34,251.12 = 15,387.84/x
  3. Step 3: Cross multiply
    24,823.80x = 34,251.12 × 15,387.84
  4. Step 4: Simplify right side
    24,823.80x = 527,050,754.38
  5. Step 5: Solve for x
    x = 527,050,754.38/24,823.80
  6. Step 6: Final answer
    x = 21,231.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.