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Finding the Fourth Proportional to 18,831.28, 28,246.92 and 6,349

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Solution

The fourth proportional to 18,831.28, 28,246.92 and 6,349 is: 9,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831.28 : 28,246.92 = 6,349 : x
  2. Step 2: Convert to fraction form
    18,831.28/28,246.92 = 6,349/x
  3. Step 3: Cross multiply
    18,831.28x = 28,246.92 × 6,349
  4. Step 4: Simplify right side
    18,831.28x = 179,339,695.08
  5. Step 5: Solve for x
    x = 179,339,695.08/18,831.28
  6. Step 6: Final answer
    x = 9,523.50

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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.