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Finding the Fourth Proportional to 14,677.75, 22,012 and 4,814.73

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Solution

The fourth proportional to 14,677.75, 22,012 and 4,814.73 is: 7,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.75 : 22,012 = 4,814.73 : x
  2. Step 2: Convert to fraction form
    14,677.75/22,012 = 4,814.73/x
  3. Step 3: Cross multiply
    14,677.75x = 22,012 × 4,814.73
  4. Step 4: Simplify right side
    14,677.75x = 105,981,836.76
  5. Step 5: Solve for x
    x = 105,981,836.76/14,677.75
  6. Step 6: Final answer
    x = 7,220.58

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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.