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Finding the Fourth Proportional to 24,419.04, 33,696 and 13,809.44

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Solution

The fourth proportional to 24,419.04, 33,696 and 13,809.44 is: 19,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.04 : 33,696 = 13,809.44 : x
  2. Step 2: Convert to fraction form
    24,419.04/33,696 = 13,809.44/x
  3. Step 3: Cross multiply
    24,419.04x = 33,696 × 13,809.44
  4. Step 4: Simplify right side
    24,419.04x = 465,322,890.24
  5. Step 5: Solve for x
    x = 465,322,890.24/24,419.04
  6. Step 6: Final answer
    x = 19,055.74

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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.