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Finding the Fourth Proportional to 14,678.20, 22,019.10 and 4,814.80

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Solution

The fourth proportional to 14,678.20, 22,019.10 and 4,814.80 is: 7,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.20 : 22,019.10 = 4,814.80 : x
  2. Step 2: Convert to fraction form
    14,678.20/22,019.10 = 4,814.80/x
  3. Step 3: Cross multiply
    14,678.20x = 22,019.10 × 4,814.80
  4. Step 4: Simplify right side
    14,678.20x = 106,017,562.68
  5. Step 5: Solve for x
    x = 106,017,562.68/14,678.20
  6. Step 6: Final answer
    x = 7,222.79

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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.