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Finding the Fourth Proportional to 22,831.30, 34,246.47 and 10,519.30

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Solution

The fourth proportional to 22,831.30, 34,246.47 and 10,519.30 is: 15,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.30 : 34,246.47 = 10,519.30 : x
  2. Step 2: Convert to fraction form
    22,831.30/34,246.47 = 10,519.30/x
  3. Step 3: Cross multiply
    22,831.30x = 34,246.47 × 10,519.30
  4. Step 4: Simplify right side
    22,831.30x = 360,248,891.87
  5. Step 5: Solve for x
    x = 360,248,891.87/22,831.30
  6. Step 6: Final answer
    x = 15,778.73

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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.