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Finding the Fourth Proportional to 16,266.72, 24,380.40 and 11,640

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Solution

The fourth proportional to 16,266.72, 24,380.40 and 11,640 is: 17,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.72 : 24,380.40 = 11,640 : x
  2. Step 2: Convert to fraction form
    16,266.72/24,380.40 = 11,640/x
  3. Step 3: Cross multiply
    16,266.72x = 24,380.40 × 11,640
  4. Step 4: Simplify right side
    16,266.72x = 283,787,856
  5. Step 5: Solve for x
    x = 283,787,856/16,266.72
  6. Step 6: Final answer
    x = 17,445.92

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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.