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Finding the Fourth Proportional to 14,970.67, 20,659.24 and 8,256.92

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Solution

The fourth proportional to 14,970.67, 20,659.24 and 8,256.92 is: 11,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.67 : 20,659.24 = 8,256.92 : x
  2. Step 2: Convert to fraction form
    14,970.67/20,659.24 = 8,256.92/x
  3. Step 3: Cross multiply
    14,970.67x = 20,659.24 × 8,256.92
  4. Step 4: Simplify right side
    14,970.67x = 170,581,691.94
  5. Step 5: Solve for x
    x = 170,581,691.94/14,970.67
  6. Step 6: Final answer
    x = 11,394.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.