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Finding the Fourth Proportional to 26,228.88, 39,342.24 and 6,507

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Solution

The fourth proportional to 26,228.88, 39,342.24 and 6,507 is: 9,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228.88 : 39,342.24 = 6,507 : x
  2. Step 2: Convert to fraction form
    26,228.88/39,342.24 = 6,507/x
  3. Step 3: Cross multiply
    26,228.88x = 39,342.24 × 6,507
  4. Step 4: Simplify right side
    26,228.88x = 255,999,955.68
  5. Step 5: Solve for x
    x = 255,999,955.68/26,228.88
  6. Step 6: Final answer
    x = 9,760.23

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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.