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Finding the Fourth Proportional to 15,231.54, 22,831.22 and 5,233.16

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Solution

The fourth proportional to 15,231.54, 22,831.22 and 5,233.16 is: 7,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.54 : 22,831.22 = 5,233.16 : x
  2. Step 2: Convert to fraction form
    15,231.54/22,831.22 = 5,233.16/x
  3. Step 3: Cross multiply
    15,231.54x = 22,831.22 × 5,233.16
  4. Step 4: Simplify right side
    15,231.54x = 119,479,339.55
  5. Step 5: Solve for x
    x = 119,479,339.55/15,231.54
  6. Step 6: Final answer
    x = 7,844.20

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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.