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Finding the Fourth Proportional to 26,228.97, 39,343.25 and 7,509.47

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Solution

The fourth proportional to 26,228.97, 39,343.25 and 7,509.47 is: 11,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228.97 : 39,343.25 = 7,509.47 : x
  2. Step 2: Convert to fraction form
    26,228.97/39,343.25 = 7,509.47/x
  3. Step 3: Cross multiply
    26,228.97x = 39,343.25 × 7,509.47
  4. Step 4: Simplify right side
    26,228.97x = 295,446,777.63
  5. Step 5: Solve for x
    x = 295,446,777.63/26,228.97
  6. Step 6: Final answer
    x = 11,264.14

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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.