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Finding the Fourth Proportional to 27,411.87, 41,113.30 and 9,638.35

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Solution

The fourth proportional to 27,411.87, 41,113.30 and 9,638.35 is: 14,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.87 : 41,113.30 = 9,638.35 : x
  2. Step 2: Convert to fraction form
    27,411.87/41,113.30 = 9,638.35/x
  3. Step 3: Cross multiply
    27,411.87x = 41,113.30 × 9,638.35
  4. Step 4: Simplify right side
    27,411.87x = 396,264,350.96
  5. Step 5: Solve for x
    x = 396,264,350.96/27,411.87
  6. Step 6: Final answer
    x = 14,455.94

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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.