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Finding the Fourth Proportional to 24,431.50, 33,715.65 and 13,253.50

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Solution

The fourth proportional to 24,431.50, 33,715.65 and 13,253.50 is: 18,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.50 : 33,715.65 = 13,253.50 : x
  2. Step 2: Convert to fraction form
    24,431.50/33,715.65 = 13,253.50/x
  3. Step 3: Cross multiply
    24,431.50x = 33,715.65 × 13,253.50
  4. Step 4: Simplify right side
    24,431.50x = 446,850,367.28
  5. Step 5: Solve for x
    x = 446,850,367.28/24,431.50
  6. Step 6: Final answer
    x = 18,289.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.