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Finding the Fourth Proportional to 12,071.32, 18,080.22 and 9,277.42

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Solution

The fourth proportional to 12,071.32, 18,080.22 and 9,277.42 is: 13,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.32 : 18,080.22 = 9,277.42 : x
  2. Step 2: Convert to fraction form
    12,071.32/18,080.22 = 9,277.42/x
  3. Step 3: Cross multiply
    12,071.32x = 18,080.22 × 9,277.42
  4. Step 4: Simplify right side
    12,071.32x = 167,737,794.63
  5. Step 5: Solve for x
    x = 167,737,794.63/12,071.32
  6. Step 6: Final answer
    x = 13,895.56

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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.