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Finding the Fourth Proportional to 16,271.86, 22,455.04 and 9,198.26

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Solution

The fourth proportional to 16,271.86, 22,455.04 and 9,198.26 is: 12,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.86 : 22,455.04 = 9,198.26 : x
  2. Step 2: Convert to fraction form
    16,271.86/22,455.04 = 9,198.26/x
  3. Step 3: Cross multiply
    16,271.86x = 22,455.04 × 9,198.26
  4. Step 4: Simplify right side
    16,271.86x = 206,547,296.23
  5. Step 5: Solve for x
    x = 206,547,296.23/16,271.86
  6. Step 6: Final answer
    x = 12,693.53

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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.