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Finding the Fourth Proportional to 14,496.74, 21,736.38 and 7,913.78

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Solution

The fourth proportional to 14,496.74, 21,736.38 and 7,913.78 is: 11,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.74 : 21,736.38 = 7,913.78 : x
  2. Step 2: Convert to fraction form
    14,496.74/21,736.38 = 7,913.78/x
  3. Step 3: Cross multiply
    14,496.74x = 21,736.38 × 7,913.78
  4. Step 4: Simplify right side
    14,496.74x = 172,016,929.32
  5. Step 5: Solve for x
    x = 172,016,929.32/14,496.74
  6. Step 6: Final answer
    x = 11,865.90

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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.