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Finding the Fourth Proportional to 12,566.80, 18,825.54 and 10,229.32

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Solution

The fourth proportional to 12,566.80, 18,825.54 and 10,229.32 is: 15,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.80 : 18,825.54 = 10,229.32 : x
  2. Step 2: Convert to fraction form
    12,566.80/18,825.54 = 10,229.32/x
  3. Step 3: Cross multiply
    12,566.80x = 18,825.54 × 10,229.32
  4. Step 4: Simplify right side
    12,566.80x = 192,572,472.83
  5. Step 5: Solve for x
    x = 192,572,472.83/12,566.80
  6. Step 6: Final answer
    x = 15,323.91

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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.