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Finding the Fourth Proportional to 23,568.40, 32,524.80 and 12,958

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Solution

The fourth proportional to 23,568.40, 32,524.80 and 12,958 is: 17,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.40 : 32,524.80 = 12,958 : x
  2. Step 2: Convert to fraction form
    23,568.40/32,524.80 = 12,958/x
  3. Step 3: Cross multiply
    23,568.40x = 32,524.80 × 12,958
  4. Step 4: Simplify right side
    23,568.40x = 421,456,358.40
  5. Step 5: Solve for x
    x = 421,456,358.40/23,568.40
  6. Step 6: Final answer
    x = 17,882.26

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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.