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Finding the Fourth Proportional to 24,565.84, 36,856.54 and 8,770.52

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Solution

The fourth proportional to 24,565.84, 36,856.54 and 8,770.52 is: 13,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.84 : 36,856.54 = 8,770.52 : x
  2. Step 2: Convert to fraction form
    24,565.84/36,856.54 = 8,770.52/x
  3. Step 3: Cross multiply
    24,565.84x = 36,856.54 × 8,770.52
  4. Step 4: Simplify right side
    24,565.84x = 323,251,021.20
  5. Step 5: Solve for x
    x = 323,251,021.20/24,565.84
  6. Step 6: Final answer
    x = 13,158.56

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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.