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Finding the Fourth Proportional to 24,209.78, 33,410.36 and 13,599.18

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Solution

The fourth proportional to 24,209.78, 33,410.36 and 13,599.18 is: 18,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.78 : 33,410.36 = 13,599.18 : x
  2. Step 2: Convert to fraction form
    24,209.78/33,410.36 = 13,599.18/x
  3. Step 3: Cross multiply
    24,209.78x = 33,410.36 × 13,599.18
  4. Step 4: Simplify right side
    24,209.78x = 454,353,499.50
  5. Step 5: Solve for x
    x = 454,353,499.50/24,209.78
  6. Step 6: Final answer
    x = 18,767.35

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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.