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Finding the Fourth Proportional to 15,839.50, 23,750.42 and 6,486.06

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Solution

The fourth proportional to 15,839.50, 23,750.42 and 6,486.06 is: 9,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.50 : 23,750.42 = 6,486.06 : x
  2. Step 2: Convert to fraction form
    15,839.50/23,750.42 = 6,486.06/x
  3. Step 3: Cross multiply
    15,839.50x = 23,750.42 × 6,486.06
  4. Step 4: Simplify right side
    15,839.50x = 154,046,649.15
  5. Step 5: Solve for x
    x = 154,046,649.15/15,839.50
  6. Step 6: Final answer
    x = 9,725.47

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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.