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Finding the Fourth Proportional to 14,524.61, 21,768.75 and 6,194.91

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Solution

The fourth proportional to 14,524.61, 21,768.75 and 6,194.91 is: 9,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.61 : 21,768.75 = 6,194.91 : x
  2. Step 2: Convert to fraction form
    14,524.61/21,768.75 = 6,194.91/x
  3. Step 3: Cross multiply
    14,524.61x = 21,768.75 × 6,194.91
  4. Step 4: Simplify right side
    14,524.61x = 134,855,447.06
  5. Step 5: Solve for x
    x = 134,855,447.06/14,524.61
  6. Step 6: Final answer
    x = 9,284.62

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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.