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Finding the Fourth Proportional to 22,264.31, 33,386.08 and 12,907

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Solution

The fourth proportional to 22,264.31, 33,386.08 and 12,907 is: 19,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.31 : 33,386.08 = 12,907 : x
  2. Step 2: Convert to fraction form
    22,264.31/33,386.08 = 12,907/x
  3. Step 3: Cross multiply
    22,264.31x = 33,386.08 × 12,907
  4. Step 4: Simplify right side
    22,264.31x = 430,914,134.56
  5. Step 5: Solve for x
    x = 430,914,134.56/22,264.31
  6. Step 6: Final answer
    x = 19,354.48

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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.