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Finding the Fourth Proportional to 16,582.60, 22,884.48 and 9,029.42

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Solution

The fourth proportional to 16,582.60, 22,884.48 and 9,029.42 is: 12,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.60 : 22,884.48 = 9,029.42 : x
  2. Step 2: Convert to fraction form
    16,582.60/22,884.48 = 9,029.42/x
  3. Step 3: Cross multiply
    16,582.60x = 22,884.48 × 9,029.42
  4. Step 4: Simplify right side
    16,582.60x = 206,633,581.40
  5. Step 5: Solve for x
    x = 206,633,581.40/16,582.60
  6. Step 6: Final answer
    x = 12,460.87

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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.