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Finding the Fourth Proportional to 26,287.49, 39,407.76 and 9,643.62

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Solution

The fourth proportional to 26,287.49, 39,407.76 and 9,643.62 is: 14,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,287.49 : 39,407.76 = 9,643.62 : x
  2. Step 2: Convert to fraction form
    26,287.49/39,407.76 = 9,643.62/x
  3. Step 3: Cross multiply
    26,287.49x = 39,407.76 × 9,643.62
  4. Step 4: Simplify right side
    26,287.49x = 380,033,462.49
  5. Step 5: Solve for x
    x = 380,033,462.49/26,287.49
  6. Step 6: Final answer
    x = 14,456.82

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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.