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Finding the Fourth Proportional to 26,386.90, 39,574.14 and 7,662

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Solution

The fourth proportional to 26,386.90, 39,574.14 and 7,662 is: 11,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,386.90 : 39,574.14 = 7,662 : x
  2. Step 2: Convert to fraction form
    26,386.90/39,574.14 = 7,662/x
  3. Step 3: Cross multiply
    26,386.90x = 39,574.14 × 7,662
  4. Step 4: Simplify right side
    26,386.90x = 303,217,060.68
  5. Step 5: Solve for x
    x = 303,217,060.68/26,386.90
  6. Step 6: Final answer
    x = 11,491.20

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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.