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Finding the Fourth Proportional to 24,419.93, 33,698.49 and 13,809.29

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Solution

The fourth proportional to 24,419.93, 33,698.49 and 13,809.29 is: 19,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.93 : 33,698.49 = 13,809.29 : x
  2. Step 2: Convert to fraction form
    24,419.93/33,698.49 = 13,809.29/x
  3. Step 3: Cross multiply
    24,419.93x = 33,698.49 × 13,809.29
  4. Step 4: Simplify right side
    24,419.93x = 465,352,220.97
  5. Step 5: Solve for x
    x = 465,352,220.97/24,419.93
  6. Step 6: Final answer
    x = 19,056.25

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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.