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Finding the Fourth Proportional to 24,143, 36,219.36 and 8,348.64

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Solution

The fourth proportional to 24,143, 36,219.36 and 8,348.64 is: 12,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143 : 36,219.36 = 8,348.64 : x
  2. Step 2: Convert to fraction form
    24,143/36,219.36 = 8,348.64/x
  3. Step 3: Cross multiply
    24,143x = 36,219.36 × 8,348.64
  4. Step 4: Simplify right side
    24,143x = 302,382,397.67
  5. Step 5: Solve for x
    x = 302,382,397.67/24,143
  6. Step 6: Final answer
    x = 12,524.64

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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.