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Finding the Fourth Proportional to 16,233.73, 22,402.10 and 9,522.68

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Solution

The fourth proportional to 16,233.73, 22,402.10 and 9,522.68 is: 13,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.73 : 22,402.10 = 9,522.68 : x
  2. Step 2: Convert to fraction form
    16,233.73/22,402.10 = 9,522.68/x
  3. Step 3: Cross multiply
    16,233.73x = 22,402.10 × 9,522.68
  4. Step 4: Simplify right side
    16,233.73x = 213,327,941.42
  5. Step 5: Solve for x
    x = 213,327,941.42/16,233.73
  6. Step 6: Final answer
    x = 13,141.03

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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.