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Finding the Fourth Proportional to 24,282.42, 33,509.52 and 13,671.78

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Solution

The fourth proportional to 24,282.42, 33,509.52 and 13,671.78 is: 18,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.42 : 33,509.52 = 13,671.78 : x
  2. Step 2: Convert to fraction form
    24,282.42/33,509.52 = 13,671.78/x
  3. Step 3: Cross multiply
    24,282.42x = 33,509.52 × 13,671.78
  4. Step 4: Simplify right side
    24,282.42x = 458,134,785.35
  5. Step 5: Solve for x
    x = 458,134,785.35/24,282.42
  6. Step 6: Final answer
    x = 18,866.93

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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.