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Finding the Fourth Proportional to 16,233.08, 22,394.56 and 9,519

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Solution

The fourth proportional to 16,233.08, 22,394.56 and 9,519 is: 13,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.08 : 22,394.56 = 9,519 : x
  2. Step 2: Convert to fraction form
    16,233.08/22,394.56 = 9,519/x
  3. Step 3: Cross multiply
    16,233.08x = 22,394.56 × 9,519
  4. Step 4: Simplify right side
    16,233.08x = 213,173,816.64
  5. Step 5: Solve for x
    x = 213,173,816.64/16,233.08
  6. Step 6: Final answer
    x = 13,132.06

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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.