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Finding the Fourth Proportional to 15,913.86, 23,882.94 and 8,024.26

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Solution

The fourth proportional to 15,913.86, 23,882.94 and 8,024.26 is: 12,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.86 : 23,882.94 = 8,024.26 : x
  2. Step 2: Convert to fraction form
    15,913.86/23,882.94 = 8,024.26/x
  3. Step 3: Cross multiply
    15,913.86x = 23,882.94 × 8,024.26
  4. Step 4: Simplify right side
    15,913.86x = 191,642,760.59
  5. Step 5: Solve for x
    x = 191,642,760.59/15,913.86
  6. Step 6: Final answer
    x = 12,042.51

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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.