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Finding the Fourth Proportional to 14,244, 21,363.36 and 3,854.40

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Solution

The fourth proportional to 14,244, 21,363.36 and 3,854.40 is: 5,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244 : 21,363.36 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    14,244/21,363.36 = 3,854.40/x
  3. Step 3: Cross multiply
    14,244x = 21,363.36 × 3,854.40
  4. Step 4: Simplify right side
    14,244x = 82,342,934.78
  5. Step 5: Solve for x
    x = 82,342,934.78/14,244
  6. Step 6: Final answer
    x = 5,780.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.