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Finding the Fourth Proportional to 22,869.13, 34,295.16 and 7,872.05

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Solution

The fourth proportional to 22,869.13, 34,295.16 and 7,872.05 is: 11,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.13 : 34,295.16 = 7,872.05 : x
  2. Step 2: Convert to fraction form
    22,869.13/34,295.16 = 7,872.05/x
  3. Step 3: Cross multiply
    22,869.13x = 34,295.16 × 7,872.05
  4. Step 4: Simplify right side
    22,869.13x = 269,973,214.28
  5. Step 5: Solve for x
    x = 269,973,214.28/22,869.13
  6. Step 6: Final answer
    x = 11,805.14

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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.