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Finding the Fourth Proportional to 24,342.68, 36,508.74 and 7,704.06

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Solution

The fourth proportional to 24,342.68, 36,508.74 and 7,704.06 is: 11,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.68 : 36,508.74 = 7,704.06 : x
  2. Step 2: Convert to fraction form
    24,342.68/36,508.74 = 7,704.06/x
  3. Step 3: Cross multiply
    24,342.68x = 36,508.74 × 7,704.06
  4. Step 4: Simplify right side
    24,342.68x = 281,265,523.48
  5. Step 5: Solve for x
    x = 281,265,523.48/24,342.68
  6. Step 6: Final answer
    x = 11,554.42

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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.