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Finding the Fourth Proportional to 22,446.65, 30,975.81 and 12,374.86

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Solution

The fourth proportional to 22,446.65, 30,975.81 and 12,374.86 is: 17,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.65 : 30,975.81 = 12,374.86 : x
  2. Step 2: Convert to fraction form
    22,446.65/30,975.81 = 12,374.86/x
  3. Step 3: Cross multiply
    22,446.65x = 30,975.81 × 12,374.86
  4. Step 4: Simplify right side
    22,446.65x = 383,321,095.38
  5. Step 5: Solve for x
    x = 383,321,095.38/22,446.65
  6. Step 6: Final answer
    x = 17,076.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.