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Finding the Fourth Proportional to 16,367.87, 22,586.60 and 9,653.15

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Solution

The fourth proportional to 16,367.87, 22,586.60 and 9,653.15 is: 13,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.87 : 22,586.60 = 9,653.15 : x
  2. Step 2: Convert to fraction form
    16,367.87/22,586.60 = 9,653.15/x
  3. Step 3: Cross multiply
    16,367.87x = 22,586.60 × 9,653.15
  4. Step 4: Simplify right side
    16,367.87x = 218,031,676.59
  5. Step 5: Solve for x
    x = 218,031,676.59/16,367.87
  6. Step 6: Final answer
    x = 13,320.72

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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.