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Finding the Fourth Proportional to 12,277.46, 18,394.17 and 7,460.14

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Solution

The fourth proportional to 12,277.46, 18,394.17 and 7,460.14 is: 11,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.46 : 18,394.17 = 7,460.14 : x
  2. Step 2: Convert to fraction form
    12,277.46/18,394.17 = 7,460.14/x
  3. Step 3: Cross multiply
    12,277.46x = 18,394.17 × 7,460.14
  4. Step 4: Simplify right side
    12,277.46x = 137,222,991.41
  5. Step 5: Solve for x
    x = 137,222,991.41/12,277.46
  6. Step 6: Final answer
    x = 11,176.82

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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.