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Finding the Fourth Proportional to 22,872.31, 34,299.93 and 7,875.19

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Solution

The fourth proportional to 22,872.31, 34,299.93 and 7,875.19 is: 11,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.31 : 34,299.93 = 7,875.19 : x
  2. Step 2: Convert to fraction form
    22,872.31/34,299.93 = 7,875.19/x
  3. Step 3: Cross multiply
    22,872.31x = 34,299.93 × 7,875.19
  4. Step 4: Simplify right side
    22,872.31x = 270,118,379.99
  5. Step 5: Solve for x
    x = 270,118,379.99/22,872.31
  6. Step 6: Final answer
    x = 11,809.84

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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.