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Finding the Fourth Proportional to 24,348.96, 36,523.68 and 7,708.68

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Solution

The fourth proportional to 24,348.96, 36,523.68 and 7,708.68 is: 11,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.96 : 36,523.68 = 7,708.68 : x
  2. Step 2: Convert to fraction form
    24,348.96/36,523.68 = 7,708.68/x
  3. Step 3: Cross multiply
    24,348.96x = 36,523.68 × 7,708.68
  4. Step 4: Simplify right side
    24,348.96x = 281,549,361.54
  5. Step 5: Solve for x
    x = 281,549,361.54/24,348.96
  6. Step 6: Final answer
    x = 11,563.10

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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.