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Finding the Fourth Proportional to 24,920.82, 37,381.14 and 8,282.16

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Solution

The fourth proportional to 24,920.82, 37,381.14 and 8,282.16 is: 12,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.82 : 37,381.14 = 8,282.16 : x
  2. Step 2: Convert to fraction form
    24,920.82/37,381.14 = 8,282.16/x
  3. Step 3: Cross multiply
    24,920.82x = 37,381.14 × 8,282.16
  4. Step 4: Simplify right side
    24,920.82x = 309,596,582.46
  5. Step 5: Solve for x
    x = 309,596,582.46/24,920.82
  6. Step 6: Final answer
    x = 12,423.21

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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.