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Finding the Fourth Proportional to 25,437.72, 38,141.97 and 23,970

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Solution

The fourth proportional to 25,437.72, 38,141.97 and 23,970 is: 35,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,437.72 : 38,141.97 = 23,970 : x
  2. Step 2: Convert to fraction form
    25,437.72/38,141.97 = 23,970/x
  3. Step 3: Cross multiply
    25,437.72x = 38,141.97 × 23,970
  4. Step 4: Simplify right side
    25,437.72x = 914,263,020.90
  5. Step 5: Solve for x
    x = 914,263,020.90/25,437.72
  6. Step 6: Final answer
    x = 35,941.23

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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.