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Finding the Fourth Proportional to 24,138.85, 33,313.58 and 13,384.79

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Solution

The fourth proportional to 24,138.85, 33,313.58 and 13,384.79 is: 18,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.85 : 33,313.58 = 13,384.79 : x
  2. Step 2: Convert to fraction form
    24,138.85/33,313.58 = 13,384.79/x
  3. Step 3: Cross multiply
    24,138.85x = 33,313.58 × 13,384.79
  4. Step 4: Simplify right side
    24,138.85x = 445,895,205.52
  5. Step 5: Solve for x
    x = 445,895,205.52/24,138.85
  6. Step 6: Final answer
    x = 18,472.10

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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.