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Finding the Fourth Proportional to 24,121.54, 33,284.73 and 13,509.46

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Solution

The fourth proportional to 24,121.54, 33,284.73 and 13,509.46 is: 18,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121.54 : 33,284.73 = 13,509.46 : x
  2. Step 2: Convert to fraction form
    24,121.54/33,284.73 = 13,509.46/x
  3. Step 3: Cross multiply
    24,121.54x = 33,284.73 × 13,509.46
  4. Step 4: Simplify right side
    24,121.54x = 449,658,728.55
  5. Step 5: Solve for x
    x = 449,658,728.55/24,121.54
  6. Step 6: Final answer
    x = 18,641.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.