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Finding the Fourth Proportional to 26,276, 39,404.08 and 8,743.20

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Solution

The fourth proportional to 26,276, 39,404.08 and 8,743.20 is: 13,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,276 : 39,404.08 = 8,743.20 : x
  2. Step 2: Convert to fraction form
    26,276/39,404.08 = 8,743.20/x
  3. Step 3: Cross multiply
    26,276x = 39,404.08 × 8,743.20
  4. Step 4: Simplify right side
    26,276x = 344,517,752.26
  5. Step 5: Solve for x
    x = 344,517,752.26/26,276
  6. Step 6: Final answer
    x = 13,111.50

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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.