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Finding the Fourth Proportional to 24,672.25, 34,058.64 and 16,186.69

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Solution

The fourth proportional to 24,672.25, 34,058.64 and 16,186.69 is: 22,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.25 : 34,058.64 = 16,186.69 : x
  2. Step 2: Convert to fraction form
    24,672.25/34,058.64 = 16,186.69/x
  3. Step 3: Cross multiply
    24,672.25x = 34,058.64 × 16,186.69
  4. Step 4: Simplify right side
    24,672.25x = 551,296,647.50
  5. Step 5: Solve for x
    x = 551,296,647.50/24,672.25
  6. Step 6: Final answer
    x = 22,344.81

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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.