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Finding the Fourth Proportional to 12,315.40, 18,454.20 and 9,180.70

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Solution

The fourth proportional to 12,315.40, 18,454.20 and 9,180.70 is: 13,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.40 : 18,454.20 = 9,180.70 : x
  2. Step 2: Convert to fraction form
    12,315.40/18,454.20 = 9,180.70/x
  3. Step 3: Cross multiply
    12,315.40x = 18,454.20 × 9,180.70
  4. Step 4: Simplify right side
    12,315.40x = 169,422,473.94
  5. Step 5: Solve for x
    x = 169,422,473.94/12,315.40
  6. Step 6: Final answer
    x = 13,756.96

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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.