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Finding the Fourth Proportional to 24,351.83, 36,527.34 and 7,711.83

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Solution

The fourth proportional to 24,351.83, 36,527.34 and 7,711.83 is: 11,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.83 : 36,527.34 = 7,711.83 : x
  2. Step 2: Convert to fraction form
    24,351.83/36,527.34 = 7,711.83/x
  3. Step 3: Cross multiply
    24,351.83x = 36,527.34 × 7,711.83
  4. Step 4: Simplify right side
    24,351.83x = 281,692,757.24
  5. Step 5: Solve for x
    x = 281,692,757.24/24,351.83
  6. Step 6: Final answer
    x = 11,567.62

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1.5x scale

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.