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Finding the Fourth Proportional to 24,384.75, 33,651.02 and 13,206.75

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Solution

The fourth proportional to 24,384.75, 33,651.02 and 13,206.75 is: 18,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.75 : 33,651.02 = 13,206.75 : x
  2. Step 2: Convert to fraction form
    24,384.75/33,651.02 = 13,206.75/x
  3. Step 3: Cross multiply
    24,384.75x = 33,651.02 × 13,206.75
  4. Step 4: Simplify right side
    24,384.75x = 444,420,641.40
  5. Step 5: Solve for x
    x = 444,420,641.40/24,384.75
  6. Step 6: Final answer
    x = 18,225.35

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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.