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Finding the Fourth Proportional to 14,807.40, 22,182.30 and 8,221.80

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Solution

The fourth proportional to 14,807.40, 22,182.30 and 8,221.80 is: 12,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.40 : 22,182.30 = 8,221.80 : x
  2. Step 2: Convert to fraction form
    14,807.40/22,182.30 = 8,221.80/x
  3. Step 3: Cross multiply
    14,807.40x = 22,182.30 × 8,221.80
  4. Step 4: Simplify right side
    14,807.40x = 182,378,434.14
  5. Step 5: Solve for x
    x = 182,378,434.14/14,807.40
  6. Step 6: Final answer
    x = 12,316.71

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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.