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Finding the Fourth Proportional to 15,175.80, 22,812.30 and 10,823.40

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Solution

The fourth proportional to 15,175.80, 22,812.30 and 10,823.40 is: 16,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.80 : 22,812.30 = 10,823.40 : x
  2. Step 2: Convert to fraction form
    15,175.80/22,812.30 = 10,823.40/x
  3. Step 3: Cross multiply
    15,175.80x = 22,812.30 × 10,823.40
  4. Step 4: Simplify right side
    15,175.80x = 246,906,647.82
  5. Step 5: Solve for x
    x = 246,906,647.82/15,175.80
  6. Step 6: Final answer
    x = 16,269.76

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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.