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Finding the Fourth Proportional to 12,129.19, 18,188.09 and 6,581.05

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Solution

The fourth proportional to 12,129.19, 18,188.09 and 6,581.05 is: 9,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.19 : 18,188.09 = 6,581.05 : x
  2. Step 2: Convert to fraction form
    12,129.19/18,188.09 = 6,581.05/x
  3. Step 3: Cross multiply
    12,129.19x = 18,188.09 × 6,581.05
  4. Step 4: Simplify right side
    12,129.19x = 119,696,713.02
  5. Step 5: Solve for x
    x = 119,696,713.02/12,129.19
  6. Step 6: Final answer
    x = 9,868.48

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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.