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Finding the Fourth Proportional to 15,224.52, 22,831.92 and 4,833.84

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Solution

The fourth proportional to 15,224.52, 22,831.92 and 4,833.84 is: 7,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.52 : 22,831.92 = 4,833.84 : x
  2. Step 2: Convert to fraction form
    15,224.52/22,831.92 = 4,833.84/x
  3. Step 3: Cross multiply
    15,224.52x = 22,831.92 × 4,833.84
  4. Step 4: Simplify right side
    15,224.52x = 110,365,848.17
  5. Step 5: Solve for x
    x = 110,365,848.17/15,224.52
  6. Step 6: Final answer
    x = 7,249.22

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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.