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Finding the Fourth Proportional to 24,520.86, 36,783.45 and 7,882.38

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Solution

The fourth proportional to 24,520.86, 36,783.45 and 7,882.38 is: 11,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520.86 : 36,783.45 = 7,882.38 : x
  2. Step 2: Convert to fraction form
    24,520.86/36,783.45 = 7,882.38/x
  3. Step 3: Cross multiply
    24,520.86x = 36,783.45 × 7,882.38
  4. Step 4: Simplify right side
    24,520.86x = 289,941,130.61
  5. Step 5: Solve for x
    x = 289,941,130.61/24,520.86
  6. Step 6: Final answer
    x = 11,824.26

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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.