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Finding the Fourth Proportional to 23,351.87, 32,230.37 and 14,278.78

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Solution

The fourth proportional to 23,351.87, 32,230.37 and 14,278.78 is: 19,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.87 : 32,230.37 = 14,278.78 : x
  2. Step 2: Convert to fraction form
    23,351.87/32,230.37 = 14,278.78/x
  3. Step 3: Cross multiply
    23,351.87x = 32,230.37 × 14,278.78
  4. Step 4: Simplify right side
    23,351.87x = 460,210,362.55
  5. Step 5: Solve for x
    x = 460,210,362.55/23,351.87
  6. Step 6: Final answer
    x = 19,707.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.