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Finding the Fourth Proportional to 12,071.80, 18,086.10 and 10,689.40

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Solution

The fourth proportional to 12,071.80, 18,086.10 and 10,689.40 is: 16,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.80 : 18,086.10 = 10,689.40 : x
  2. Step 2: Convert to fraction form
    12,071.80/18,086.10 = 10,689.40/x
  3. Step 3: Cross multiply
    12,071.80x = 18,086.10 × 10,689.40
  4. Step 4: Simplify right side
    12,071.80x = 193,329,557.34
  5. Step 5: Solve for x
    x = 193,329,557.34/12,071.80
  6. Step 6: Final answer
    x = 16,014.97

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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.