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Finding the Fourth Proportional to 12,077.28, 18,182.79 and 9,458.82

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Solution

The fourth proportional to 12,077.28, 18,182.79 and 9,458.82 is: 14,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.28 : 18,182.79 = 9,458.82 : x
  2. Step 2: Convert to fraction form
    12,077.28/18,182.79 = 9,458.82/x
  3. Step 3: Cross multiply
    12,077.28x = 18,182.79 × 9,458.82
  4. Step 4: Simplify right side
    12,077.28x = 171,987,737.71
  5. Step 5: Solve for x
    x = 171,987,737.71/12,077.28
  6. Step 6: Final answer
    x = 14,240.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.