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Finding the Fourth Proportional to 16,331.76, 24,503.40 and 5,944.56

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Solution

The fourth proportional to 16,331.76, 24,503.40 and 5,944.56 is: 8,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.76 : 24,503.40 = 5,944.56 : x
  2. Step 2: Convert to fraction form
    16,331.76/24,503.40 = 5,944.56/x
  3. Step 3: Cross multiply
    16,331.76x = 24,503.40 × 5,944.56
  4. Step 4: Simplify right side
    16,331.76x = 145,661,931.50
  5. Step 5: Solve for x
    x = 145,661,931.50/16,331.76
  6. Step 6: Final answer
    x = 8,918.94

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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.