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Finding the Fourth Proportional to 16,835.99, 23,233.10 and 9,282.20

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Solution

The fourth proportional to 16,835.99, 23,233.10 and 9,282.20 is: 12,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.99 : 23,233.10 = 9,282.20 : x
  2. Step 2: Convert to fraction form
    16,835.99/23,233.10 = 9,282.20/x
  3. Step 3: Cross multiply
    16,835.99x = 23,233.10 × 9,282.20
  4. Step 4: Simplify right side
    16,835.99x = 215,654,118.24
  5. Step 5: Solve for x
    x = 215,654,118.24/16,835.99
  6. Step 6: Final answer
    x = 12,809.12

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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.