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Finding the Fourth Proportional to 27,025.44, 40,538.16 and 8,556

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Solution

The fourth proportional to 27,025.44, 40,538.16 and 8,556 is: 12,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025.44 : 40,538.16 = 8,556 : x
  2. Step 2: Convert to fraction form
    27,025.44/40,538.16 = 8,556/x
  3. Step 3: Cross multiply
    27,025.44x = 40,538.16 × 8,556
  4. Step 4: Simplify right side
    27,025.44x = 346,844,496.96
  5. Step 5: Solve for x
    x = 346,844,496.96/27,025.44
  6. Step 6: Final answer
    x = 12,834.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.