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Finding the Fourth Proportional to 24,309.16, 36,463.72 and 5,841.16

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Solution

The fourth proportional to 24,309.16, 36,463.72 and 5,841.16 is: 8,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.16 : 36,463.72 = 5,841.16 : x
  2. Step 2: Convert to fraction form
    24,309.16/36,463.72 = 5,841.16/x
  3. Step 3: Cross multiply
    24,309.16x = 36,463.72 × 5,841.16
  4. Step 4: Simplify right side
    24,309.16x = 212,990,422.72
  5. Step 5: Solve for x
    x = 212,990,422.72/24,309.16
  6. Step 6: Final answer
    x = 8,761.74

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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.