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Finding the Fourth Proportional to 24,407.74, 33,682.56 and 13,797.40

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Solution

The fourth proportional to 24,407.74, 33,682.56 and 13,797.40 is: 19,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.74 : 33,682.56 = 13,797.40 : x
  2. Step 2: Convert to fraction form
    24,407.74/33,682.56 = 13,797.40/x
  3. Step 3: Cross multiply
    24,407.74x = 33,682.56 × 13,797.40
  4. Step 4: Simplify right side
    24,407.74x = 464,731,753.34
  5. Step 5: Solve for x
    x = 464,731,753.34/24,407.74
  6. Step 6: Final answer
    x = 19,040.34

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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.