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Finding the Fourth Proportional to 24,387, 33,651.36 and 13,774.38

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Solution

The fourth proportional to 24,387, 33,651.36 and 13,774.38 is: 19,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387 : 33,651.36 = 13,774.38 : x
  2. Step 2: Convert to fraction form
    24,387/33,651.36 = 13,774.38/x
  3. Step 3: Cross multiply
    24,387x = 33,651.36 × 13,774.38
  4. Step 4: Simplify right side
    24,387x = 463,526,620.16
  5. Step 5: Solve for x
    x = 463,526,620.16/24,387
  6. Step 6: Final answer
    x = 19,007.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.