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Finding the Fourth Proportional to 23,643.87, 35,471.31 and 8,061.51

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Solution

The fourth proportional to 23,643.87, 35,471.31 and 8,061.51 is: 12,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.87 : 35,471.31 = 8,061.51 : x
  2. Step 2: Convert to fraction form
    23,643.87/35,471.31 = 8,061.51/x
  3. Step 3: Cross multiply
    23,643.87x = 35,471.31 × 8,061.51
  4. Step 4: Simplify right side
    23,643.87x = 285,952,320.28
  5. Step 5: Solve for x
    x = 285,952,320.28/23,643.87
  6. Step 6: Final answer
    x = 12,094.14

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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.