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Finding the Fourth Proportional to 16,586.80, 22,889.34 and 9,032.98

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Solution

The fourth proportional to 16,586.80, 22,889.34 and 9,032.98 is: 12,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.80 : 22,889.34 = 9,032.98 : x
  2. Step 2: Convert to fraction form
    16,586.80/22,889.34 = 9,032.98/x
  3. Step 3: Cross multiply
    16,586.80x = 22,889.34 × 9,032.98
  4. Step 4: Simplify right side
    16,586.80x = 206,758,950.43
  5. Step 5: Solve for x
    x = 206,758,950.43/16,586.80
  6. Step 6: Final answer
    x = 12,465.27

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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.