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Finding the Fourth Proportional to 15,212.40, 20,993.12 and 8,924.80

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Solution

The fourth proportional to 15,212.40, 20,993.12 and 8,924.80 is: 12,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.40 : 20,993.12 = 8,924.80 : x
  2. Step 2: Convert to fraction form
    15,212.40/20,993.12 = 8,924.80/x
  3. Step 3: Cross multiply
    15,212.40x = 20,993.12 × 8,924.80
  4. Step 4: Simplify right side
    15,212.40x = 187,359,397.38
  5. Step 5: Solve for x
    x = 187,359,397.38/15,212.40
  6. Step 6: Final answer
    x = 12,316.23

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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.