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Finding the Fourth Proportional to 24,407.57, 33,684.15 and 13,797.29

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Solution

The fourth proportional to 24,407.57, 33,684.15 and 13,797.29 is: 19,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.57 : 33,684.15 = 13,797.29 : x
  2. Step 2: Convert to fraction form
    24,407.57/33,684.15 = 13,797.29/x
  3. Step 3: Cross multiply
    24,407.57x = 33,684.15 × 13,797.29
  4. Step 4: Simplify right side
    24,407.57x = 464,749,817.53
  5. Step 5: Solve for x
    x = 464,749,817.53/24,407.57
  6. Step 6: Final answer
    x = 19,041.22

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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.