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Finding the Fourth Proportional to 14,951.92, 22,426 and 6,185.68

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Solution

The fourth proportional to 14,951.92, 22,426 and 6,185.68 is: 9,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.92 : 22,426 = 6,185.68 : x
  2. Step 2: Convert to fraction form
    14,951.92/22,426 = 6,185.68/x
  3. Step 3: Cross multiply
    14,951.92x = 22,426 × 6,185.68
  4. Step 4: Simplify right side
    14,951.92x = 138,720,059.68
  5. Step 5: Solve for x
    x = 138,720,059.68/14,951.92
  6. Step 6: Final answer
    x = 9,277.74

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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.