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Finding the Fourth Proportional to 12,071.53, 18,114.21 and 9,431.65

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Solution

The fourth proportional to 12,071.53, 18,114.21 and 9,431.65 is: 14,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.53 : 18,114.21 = 9,431.65 : x
  2. Step 2: Convert to fraction form
    12,071.53/18,114.21 = 9,431.65/x
  3. Step 3: Cross multiply
    12,071.53x = 18,114.21 × 9,431.65
  4. Step 4: Simplify right side
    12,071.53x = 170,846,888.75
  5. Step 5: Solve for x
    x = 170,846,888.75/12,071.53
  6. Step 6: Final answer
    x = 14,152.88

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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.