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Finding the Fourth Proportional to 16,586.23, 22,889.56 and 9,032.69

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Solution

The fourth proportional to 16,586.23, 22,889.56 and 9,032.69 is: 12,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.23 : 22,889.56 = 9,032.69 : x
  2. Step 2: Convert to fraction form
    16,586.23/22,889.56 = 9,032.69/x
  3. Step 3: Cross multiply
    16,586.23x = 22,889.56 × 9,032.69
  4. Step 4: Simplify right side
    16,586.23x = 206,754,299.72
  5. Step 5: Solve for x
    x = 206,754,299.72/16,586.23
  6. Step 6: Final answer
    x = 12,465.42

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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.