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Finding the Fourth Proportional to 16,564.92, 22,860 and 9,011.67

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Solution

The fourth proportional to 16,564.92, 22,860 and 9,011.67 is: 12,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.92 : 22,860 = 9,011.67 : x
  2. Step 2: Convert to fraction form
    16,564.92/22,860 = 9,011.67/x
  3. Step 3: Cross multiply
    16,564.92x = 22,860 × 9,011.67
  4. Step 4: Simplify right side
    16,564.92x = 206,006,776.20
  5. Step 5: Solve for x
    x = 206,006,776.20/16,564.92
  6. Step 6: Final answer
    x = 12,436.33

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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.