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Finding the Fourth Proportional to 22,981.42, 34,463.62 and 8,186.41

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Solution

The fourth proportional to 22,981.42, 34,463.62 and 8,186.41 is: 12,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.42 : 34,463.62 = 8,186.41 : x
  2. Step 2: Convert to fraction form
    22,981.42/34,463.62 = 8,186.41/x
  3. Step 3: Cross multiply
    22,981.42x = 34,463.62 × 8,186.41
  4. Step 4: Simplify right side
    22,981.42x = 282,133,110.15
  5. Step 5: Solve for x
    x = 282,133,110.15/22,981.42
  6. Step 6: Final answer
    x = 12,276.58

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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.