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Finding the Fourth Proportional to 16,233.50, 22,402.14 and 9,063

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Solution

The fourth proportional to 16,233.50, 22,402.14 and 9,063 is: 12,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.50 : 22,402.14 = 9,063 : x
  2. Step 2: Convert to fraction form
    16,233.50/22,402.14 = 9,063/x
  3. Step 3: Cross multiply
    16,233.50x = 22,402.14 × 9,063
  4. Step 4: Simplify right side
    16,233.50x = 203,030,594.82
  5. Step 5: Solve for x
    x = 203,030,594.82/16,233.50
  6. Step 6: Final answer
    x = 12,506.89

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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.