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Finding the Fourth Proportional to 14,579.66, 20,098.42 and 10,317.48

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Solution

The fourth proportional to 14,579.66, 20,098.42 and 10,317.48 is: 14,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,579.66 : 20,098.42 = 10,317.48 : x
  2. Step 2: Convert to fraction form
    14,579.66/20,098.42 = 10,317.48/x
  3. Step 3: Cross multiply
    14,579.66x = 20,098.42 × 10,317.48
  4. Step 4: Simplify right side
    14,579.66x = 207,365,046.38
  5. Step 5: Solve for x
    x = 207,365,046.38/14,579.66
  6. Step 6: Final answer
    x = 14,222.90

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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.