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Finding the Fourth Proportional to 27,675.43, 41,513 and 10,810.15

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Solution

The fourth proportional to 27,675.43, 41,513 and 10,810.15 is: 16,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.43 : 41,513 = 10,810.15 : x
  2. Step 2: Convert to fraction form
    27,675.43/41,513 = 10,810.15/x
  3. Step 3: Cross multiply
    27,675.43x = 41,513 × 10,810.15
  4. Step 4: Simplify right side
    27,675.43x = 448,761,756.95
  5. Step 5: Solve for x
    x = 448,761,756.95/27,675.43
  6. Step 6: Final answer
    x = 16,215.17

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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.