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Finding the Fourth Proportional to 12,074.32, 18,084.72 and 9,280.42

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Solution

The fourth proportional to 12,074.32, 18,084.72 and 9,280.42 is: 13,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.32 : 18,084.72 = 9,280.42 : x
  2. Step 2: Convert to fraction form
    12,074.32/18,084.72 = 9,280.42/x
  3. Step 3: Cross multiply
    12,074.32x = 18,084.72 × 9,280.42
  4. Step 4: Simplify right side
    12,074.32x = 167,833,797.18
  5. Step 5: Solve for x
    x = 167,833,797.18/12,074.32
  6. Step 6: Final answer
    x = 13,900.06

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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.