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Finding the Fourth Proportional to 16,582.64, 22,884.36 and 9,029.12

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Solution

The fourth proportional to 16,582.64, 22,884.36 and 9,029.12 is: 12,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.64 : 22,884.36 = 9,029.12 : x
  2. Step 2: Convert to fraction form
    16,582.64/22,884.36 = 9,029.12/x
  3. Step 3: Cross multiply
    16,582.64x = 22,884.36 × 9,029.12
  4. Step 4: Simplify right side
    16,582.64x = 206,625,632.56
  5. Step 5: Solve for x
    x = 206,625,632.56/16,582.64
  6. Step 6: Final answer
    x = 12,460.36

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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.