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Finding the Fourth Proportional to 24,827.65, 37,233.57 and 8,184.58

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Solution

The fourth proportional to 24,827.65, 37,233.57 and 8,184.58 is: 12,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.65 : 37,233.57 = 8,184.58 : x
  2. Step 2: Convert to fraction form
    24,827.65/37,233.57 = 8,184.58/x
  3. Step 3: Cross multiply
    24,827.65x = 37,233.57 × 8,184.58
  4. Step 4: Simplify right side
    24,827.65x = 304,741,069.96
  5. Step 5: Solve for x
    x = 304,741,069.96/24,827.65
  6. Step 6: Final answer
    x = 12,274.26

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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.