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Finding the Fourth Proportional to 14,515.88, 21,768.54 and 6,196.78

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Solution

The fourth proportional to 14,515.88, 21,768.54 and 6,196.78 is: 9,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.88 : 21,768.54 = 6,196.78 : x
  2. Step 2: Convert to fraction form
    14,515.88/21,768.54 = 6,196.78/x
  3. Step 3: Cross multiply
    14,515.88x = 21,768.54 × 6,196.78
  4. Step 4: Simplify right side
    14,515.88x = 134,894,853.30
  5. Step 5: Solve for x
    x = 134,894,853.30/14,515.88
  6. Step 6: Final answer
    x = 9,292.92

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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.