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Finding the Fourth Proportional to 12,659.50, 17,455.89 and 8,177.34

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Solution

The fourth proportional to 12,659.50, 17,455.89 and 8,177.34 is: 11,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.50 : 17,455.89 = 8,177.34 : x
  2. Step 2: Convert to fraction form
    12,659.50/17,455.89 = 8,177.34/x
  3. Step 3: Cross multiply
    12,659.50x = 17,455.89 × 8,177.34
  4. Step 4: Simplify right side
    12,659.50x = 142,742,747.53
  5. Step 5: Solve for x
    x = 142,742,747.53/12,659.50
  6. Step 6: Final answer
    x = 11,275.54

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