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Finding the Fourth Proportional to 14,653.82, 21,986.85 and 9,111.83

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Solution

The fourth proportional to 14,653.82, 21,986.85 and 9,111.83 is: 13,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.82 : 21,986.85 = 9,111.83 : x
  2. Step 2: Convert to fraction form
    14,653.82/21,986.85 = 9,111.83/x
  3. Step 3: Cross multiply
    14,653.82x = 21,986.85 × 9,111.83
  4. Step 4: Simplify right side
    14,653.82x = 200,340,329.50
  5. Step 5: Solve for x
    x = 200,340,329.50/14,653.82
  6. Step 6: Final answer
    x = 13,671.55

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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.