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Finding the Fourth Proportional to 16,440, 24,673.44 and 11,519.52

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Solution

The fourth proportional to 16,440, 24,673.44 and 11,519.52 is: 17,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440 : 24,673.44 = 11,519.52 : x
  2. Step 2: Convert to fraction form
    16,440/24,673.44 = 11,519.52/x
  3. Step 3: Cross multiply
    16,440x = 24,673.44 × 11,519.52
  4. Step 4: Simplify right side
    16,440x = 284,226,185.55
  5. Step 5: Solve for x
    x = 284,226,185.55/16,440
  6. Step 6: Final answer
    x = 17,288.70

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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.