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Finding the Fourth Proportional to 15,219.32, 22,832.62 and 4,831.08

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Solution

The fourth proportional to 15,219.32, 22,832.62 and 4,831.08 is: 7,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.32 : 22,832.62 = 4,831.08 : x
  2. Step 2: Convert to fraction form
    15,219.32/22,832.62 = 4,831.08/x
  3. Step 3: Cross multiply
    15,219.32x = 22,832.62 × 4,831.08
  4. Step 4: Simplify right side
    15,219.32x = 110,306,213.83
  5. Step 5: Solve for x
    x = 110,306,213.83/15,219.32
  6. Step 6: Final answer
    x = 7,247.78

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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.