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Finding the Fourth Proportional to 24,915, 37,378.42 and 8,499

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Solution

The fourth proportional to 24,915, 37,378.42 and 8,499 is: 12,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,915 : 37,378.42 = 8,499 : x
  2. Step 2: Convert to fraction form
    24,915/37,378.42 = 8,499/x
  3. Step 3: Cross multiply
    24,915x = 37,378.42 × 8,499
  4. Step 4: Simplify right side
    24,915x = 317,679,191.58
  5. Step 5: Solve for x
    x = 317,679,191.58/24,915
  6. Step 6: Final answer
    x = 12,750.52

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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.