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Finding the Fourth Proportional to 15,995.40, 23,945.70 and 11,854

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Solution

The fourth proportional to 15,995.40, 23,945.70 and 11,854 is: 17,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995.40 : 23,945.70 = 11,854 : x
  2. Step 2: Convert to fraction form
    15,995.40/23,945.70 = 11,854/x
  3. Step 3: Cross multiply
    15,995.40x = 23,945.70 × 11,854
  4. Step 4: Simplify right side
    15,995.40x = 283,852,327.80
  5. Step 5: Solve for x
    x = 283,852,327.80/15,995.40
  6. Step 6: Final answer
    x = 17,745.87

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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.