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Finding the Fourth Proportional to 24,465.90, 33,765.04 and 13,857.42

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Solution

The fourth proportional to 24,465.90, 33,765.04 and 13,857.42 is: 19,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.90 : 33,765.04 = 13,857.42 : x
  2. Step 2: Convert to fraction form
    24,465.90/33,765.04 = 13,857.42/x
  3. Step 3: Cross multiply
    24,465.90x = 33,765.04 × 13,857.42
  4. Step 4: Simplify right side
    24,465.90x = 467,896,340.60
  5. Step 5: Solve for x
    x = 467,896,340.60/24,465.90
  6. Step 6: Final answer
    x = 19,124.43

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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.