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Finding the Fourth Proportional to 16,460.85, 24,679.37 and 9,781.52

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Solution

The fourth proportional to 16,460.85, 24,679.37 and 9,781.52 is: 14,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.85 : 24,679.37 = 9,781.52 : x
  2. Step 2: Convert to fraction form
    16,460.85/24,679.37 = 9,781.52/x
  3. Step 3: Cross multiply
    16,460.85x = 24,679.37 × 9,781.52
  4. Step 4: Simplify right side
    16,460.85x = 241,401,578.94
  5. Step 5: Solve for x
    x = 241,401,578.94/16,460.85
  6. Step 6: Final answer
    x = 14,665.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.