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Finding the Fourth Proportional to 23,426.16, 35,139.42 and 7,845

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Solution

The fourth proportional to 23,426.16, 35,139.42 and 7,845 is: 11,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426.16 : 35,139.42 = 7,845 : x
  2. Step 2: Convert to fraction form
    23,426.16/35,139.42 = 7,845/x
  3. Step 3: Cross multiply
    23,426.16x = 35,139.42 × 7,845
  4. Step 4: Simplify right side
    23,426.16x = 275,668,749.90
  5. Step 5: Solve for x
    x = 275,668,749.90/23,426.16
  6. Step 6: Final answer
    x = 11,767.56

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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.