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Finding the Fourth Proportional to 16,383.66, 24,583.50 and 7,624.68

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Solution

The fourth proportional to 16,383.66, 24,583.50 and 7,624.68 is: 11,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.66 : 24,583.50 = 7,624.68 : x
  2. Step 2: Convert to fraction form
    16,383.66/24,583.50 = 7,624.68/x
  3. Step 3: Cross multiply
    16,383.66x = 24,583.50 × 7,624.68
  4. Step 4: Simplify right side
    16,383.66x = 187,441,320.78
  5. Step 5: Solve for x
    x = 187,441,320.78/16,383.66
  6. Step 6: Final answer
    x = 11,440.75

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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.