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Finding the Fourth Proportional to 22,602.32, 31,171.56 and 17,878.32

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Solution

The fourth proportional to 22,602.32, 31,171.56 and 17,878.32 is: 24,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.32 : 31,171.56 = 17,878.32 : x
  2. Step 2: Convert to fraction form
    22,602.32/31,171.56 = 17,878.32/x
  3. Step 3: Cross multiply
    22,602.32x = 31,171.56 × 17,878.32
  4. Step 4: Simplify right side
    22,602.32x = 557,295,124.58
  5. Step 5: Solve for x
    x = 557,295,124.58/22,602.32
  6. Step 6: Final answer
    x = 24,656.55

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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.