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Finding the Fourth Proportional to 15,919.74, 23,876.10 and 10,411.74

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Solution

The fourth proportional to 15,919.74, 23,876.10 and 10,411.74 is: 15,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.74 : 23,876.10 = 10,411.74 : x
  2. Step 2: Convert to fraction form
    15,919.74/23,876.10 = 10,411.74/x
  3. Step 3: Cross multiply
    15,919.74x = 23,876.10 × 10,411.74
  4. Step 4: Simplify right side
    15,919.74x = 248,591,745.41
  5. Step 5: Solve for x
    x = 248,591,745.41/15,919.74
  6. Step 6: Final answer
    x = 15,615.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.