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Finding the Fourth Proportional to 16,204.77, 24,307.15 and 3,892.77

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Solution

The fourth proportional to 16,204.77, 24,307.15 and 3,892.77 is: 5,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.77 : 24,307.15 = 3,892.77 : x
  2. Step 2: Convert to fraction form
    16,204.77/24,307.15 = 3,892.77/x
  3. Step 3: Cross multiply
    16,204.77x = 24,307.15 × 3,892.77
  4. Step 4: Simplify right side
    16,204.77x = 94,622,144.31
  5. Step 5: Solve for x
    x = 94,622,144.31/16,204.77
  6. Step 6: Final answer
    x = 5,839.15

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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.