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Finding the Fourth Proportional to 16,094.41, 24,135.69 and 5,561.74

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Solution

The fourth proportional to 16,094.41, 24,135.69 and 5,561.74 is: 8,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.41 : 24,135.69 = 5,561.74 : x
  2. Step 2: Convert to fraction form
    16,094.41/24,135.69 = 5,561.74/x
  3. Step 3: Cross multiply
    16,094.41x = 24,135.69 × 5,561.74
  4. Step 4: Simplify right side
    16,094.41x = 134,236,432.50
  5. Step 5: Solve for x
    x = 134,236,432.50/16,094.41
  6. Step 6: Final answer
    x = 8,340.56

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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.