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Finding the Fourth Proportional to 26,295.66, 39,462.94 and 9,666

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Solution

The fourth proportional to 26,295.66, 39,462.94 and 9,666 is: 14,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295.66 : 39,462.94 = 9,666 : x
  2. Step 2: Convert to fraction form
    26,295.66/39,462.94 = 9,666/x
  3. Step 3: Cross multiply
    26,295.66x = 39,462.94 × 9,666
  4. Step 4: Simplify right side
    26,295.66x = 381,448,778.04
  5. Step 5: Solve for x
    x = 381,448,778.04/26,295.66
  6. Step 6: Final answer
    x = 14,506.15

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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.