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Finding the Fourth Proportional to 16,582.92, 22,883.68 and 9,029.06

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Solution

The fourth proportional to 16,582.92, 22,883.68 and 9,029.06 is: 12,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.92 : 22,883.68 = 9,029.06 : x
  2. Step 2: Convert to fraction form
    16,582.92/22,883.68 = 9,029.06/x
  3. Step 3: Cross multiply
    16,582.92x = 22,883.68 × 9,029.06
  4. Step 4: Simplify right side
    16,582.92x = 206,618,119.74
  5. Step 5: Solve for x
    x = 206,618,119.74/16,582.92
  6. Step 6: Final answer
    x = 12,459.69

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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.