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Finding the Fourth Proportional to 12,114.60, 16,735.14 and 9,355.56

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Solution

The fourth proportional to 12,114.60, 16,735.14 and 9,355.56 is: 12,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.60 : 16,735.14 = 9,355.56 : x
  2. Step 2: Convert to fraction form
    12,114.60/16,735.14 = 9,355.56/x
  3. Step 3: Cross multiply
    12,114.60x = 16,735.14 × 9,355.56
  4. Step 4: Simplify right side
    12,114.60x = 156,566,606.38
  5. Step 5: Solve for x
    x = 156,566,606.38/12,114.60
  6. Step 6: Final answer
    x = 12,923.79

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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.