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Finding the Fourth Proportional to 15,200.62, 22,766.30 and 12,423.14

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Solution

The fourth proportional to 15,200.62, 22,766.30 and 12,423.14 is: 18,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.62 : 22,766.30 = 12,423.14 : x
  2. Step 2: Convert to fraction form
    15,200.62/22,766.30 = 12,423.14/x
  3. Step 3: Cross multiply
    15,200.62x = 22,766.30 × 12,423.14
  4. Step 4: Simplify right side
    15,200.62x = 282,828,932.18
  5. Step 5: Solve for x
    x = 282,828,932.18/15,200.62
  6. Step 6: Final answer
    x = 18,606.41

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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.