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Finding the Fourth Proportional to 16,582.63, 22,884.59 and 9,029.26

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Solution

The fourth proportional to 16,582.63, 22,884.59 and 9,029.26 is: 12,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.63 : 22,884.59 = 9,029.26 : x
  2. Step 2: Convert to fraction form
    16,582.63/22,884.59 = 9,029.26/x
  3. Step 3: Cross multiply
    16,582.63x = 22,884.59 × 9,029.26
  4. Step 4: Simplify right side
    16,582.63x = 206,630,821.25
  5. Step 5: Solve for x
    x = 206,630,821.25/16,582.63
  6. Step 6: Final answer
    x = 12,460.68

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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.