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Finding the Fourth Proportional to 16,334.48, 24,488.76 and 7,094

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Solution

The fourth proportional to 16,334.48, 24,488.76 and 7,094 is: 10,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.48 : 24,488.76 = 7,094 : x
  2. Step 2: Convert to fraction form
    16,334.48/24,488.76 = 7,094/x
  3. Step 3: Cross multiply
    16,334.48x = 24,488.76 × 7,094
  4. Step 4: Simplify right side
    16,334.48x = 173,723,263.44
  5. Step 5: Solve for x
    x = 173,723,263.44/16,334.48
  6. Step 6: Final answer
    x = 10,635.37

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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.