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Finding the Fourth Proportional to 24,113.70, 33,277.50 and 13,503.24

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Solution

The fourth proportional to 24,113.70, 33,277.50 and 13,503.24 is: 18,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.70 : 33,277.50 = 13,503.24 : x
  2. Step 2: Convert to fraction form
    24,113.70/33,277.50 = 13,503.24/x
  3. Step 3: Cross multiply
    24,113.70x = 33,277.50 × 13,503.24
  4. Step 4: Simplify right side
    24,113.70x = 449,354,069.10
  5. Step 5: Solve for x
    x = 449,354,069.10/24,113.70
  6. Step 6: Final answer
    x = 18,634.80

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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.