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Finding the Fourth Proportional to 23,839.50, 32,898.51 and 15,456

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Solution

The fourth proportional to 23,839.50, 32,898.51 and 15,456 is: 21,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.50 : 32,898.51 = 15,456 : x
  2. Step 2: Convert to fraction form
    23,839.50/32,898.51 = 15,456/x
  3. Step 3: Cross multiply
    23,839.50x = 32,898.51 × 15,456
  4. Step 4: Simplify right side
    23,839.50x = 508,479,370.56
  5. Step 5: Solve for x
    x = 508,479,370.56/23,839.50
  6. Step 6: Final answer
    x = 21,329.28

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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.