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Finding the Fourth Proportional to 23,814.60, 35,693.82 and 8,223.72

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Solution

The fourth proportional to 23,814.60, 35,693.82 and 8,223.72 is: 12,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.60 : 35,693.82 = 8,223.72 : x
  2. Step 2: Convert to fraction form
    23,814.60/35,693.82 = 8,223.72/x
  3. Step 3: Cross multiply
    23,814.60x = 35,693.82 × 8,223.72
  4. Step 4: Simplify right side
    23,814.60x = 293,535,981.41
  5. Step 5: Solve for x
    x = 293,535,981.41/23,814.60
  6. Step 6: Final answer
    x = 12,325.88

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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.