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Finding the Fourth Proportional to 22,448.42, 30,977.42 and 12,376.97

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Solution

The fourth proportional to 22,448.42, 30,977.42 and 12,376.97 is: 17,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.42 : 30,977.42 = 12,376.97 : x
  2. Step 2: Convert to fraction form
    22,448.42/30,977.42 = 12,376.97/x
  3. Step 3: Cross multiply
    22,448.42x = 30,977.42 × 12,376.97
  4. Step 4: Simplify right side
    22,448.42x = 383,406,381.25
  5. Step 5: Solve for x
    x = 383,406,381.25/22,448.42
  6. Step 6: Final answer
    x = 17,079.44

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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.