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Finding the Fourth Proportional to 16,844.93, 23,246.11 and 9,291.47

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Solution

The fourth proportional to 16,844.93, 23,246.11 and 9,291.47 is: 12,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.93 : 23,246.11 = 9,291.47 : x
  2. Step 2: Convert to fraction form
    16,844.93/23,246.11 = 9,291.47/x
  3. Step 3: Cross multiply
    16,844.93x = 23,246.11 × 9,291.47
  4. Step 4: Simplify right side
    16,844.93x = 215,990,429.07
  5. Step 5: Solve for x
    x = 215,990,429.07/16,844.93
  6. Step 6: Final answer
    x = 12,822.28

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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.