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Finding the Fourth Proportional to 26,814.60, 40,221.90 and 9,282.60

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Solution

The fourth proportional to 26,814.60, 40,221.90 and 9,282.60 is: 13,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814.60 : 40,221.90 = 9,282.60 : x
  2. Step 2: Convert to fraction form
    26,814.60/40,221.90 = 9,282.60/x
  3. Step 3: Cross multiply
    26,814.60x = 40,221.90 × 9,282.60
  4. Step 4: Simplify right side
    26,814.60x = 373,363,808.94
  5. Step 5: Solve for x
    x = 373,363,808.94/26,814.60
  6. Step 6: Final answer
    x = 13,923.90

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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.