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Finding the Fourth Proportional to 12,282.69, 18,406.60 and 9,460.85

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Solution

The fourth proportional to 12,282.69, 18,406.60 and 9,460.85 is: 14,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.69 : 18,406.60 = 9,460.85 : x
  2. Step 2: Convert to fraction form
    12,282.69/18,406.60 = 9,460.85/x
  3. Step 3: Cross multiply
    12,282.69x = 18,406.60 × 9,460.85
  4. Step 4: Simplify right side
    12,282.69x = 174,142,081.61
  5. Step 5: Solve for x
    x = 174,142,081.61/12,282.69
  6. Step 6: Final answer
    x = 14,177.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.