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Finding the Fourth Proportional to 27,214.43, 40,820.72 and 10,578.20

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Solution

The fourth proportional to 27,214.43, 40,820.72 and 10,578.20 is: 15,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.43 : 40,820.72 = 10,578.20 : x
  2. Step 2: Convert to fraction form
    27,214.43/40,820.72 = 10,578.20/x
  3. Step 3: Cross multiply
    27,214.43x = 40,820.72 × 10,578.20
  4. Step 4: Simplify right side
    27,214.43x = 431,809,483.31
  5. Step 5: Solve for x
    x = 431,809,483.31/27,214.43
  6. Step 6: Final answer
    x = 15,866.93

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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.