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Finding the Fourth Proportional to 24,623.32, 33,968.56 and 17,906

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Solution

The fourth proportional to 24,623.32, 33,968.56 and 17,906 is: 24,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623.32 : 33,968.56 = 17,906 : x
  2. Step 2: Convert to fraction form
    24,623.32/33,968.56 = 17,906/x
  3. Step 3: Cross multiply
    24,623.32x = 33,968.56 × 17,906
  4. Step 4: Simplify right side
    24,623.32x = 608,241,035.36
  5. Step 5: Solve for x
    x = 608,241,035.36/24,623.32
  6. Step 6: Final answer
    x = 24,701.83

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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.