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Finding the Fourth Proportional to 24,486.98, 33,790.91 and 13,876.38

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Solution

The fourth proportional to 24,486.98, 33,790.91 and 13,876.38 is: 19,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.98 : 33,790.91 = 13,876.38 : x
  2. Step 2: Convert to fraction form
    24,486.98/33,790.91 = 13,876.38/x
  3. Step 3: Cross multiply
    24,486.98x = 33,790.91 × 13,876.38
  4. Step 4: Simplify right side
    24,486.98x = 468,895,438.32
  5. Step 5: Solve for x
    x = 468,895,438.32/24,486.98
  6. Step 6: Final answer
    x = 19,148.77

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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.