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Finding the Fourth Proportional to 24,496.83, 33,809.40 and 13,884.21

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Solution

The fourth proportional to 24,496.83, 33,809.40 and 13,884.21 is: 19,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.83 : 33,809.40 = 13,884.21 : x
  2. Step 2: Convert to fraction form
    24,496.83/33,809.40 = 13,884.21/x
  3. Step 3: Cross multiply
    24,496.83x = 33,809.40 × 13,884.21
  4. Step 4: Simplify right side
    24,496.83x = 469,416,809.57
  5. Step 5: Solve for x
    x = 469,416,809.57/24,496.83
  6. Step 6: Final answer
    x = 19,162.35

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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.