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Finding the Fourth Proportional to 16,442.01, 22,690.19 and 9,727.46

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Solution

The fourth proportional to 16,442.01, 22,690.19 and 9,727.46 is: 13,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.01 : 22,690.19 = 9,727.46 : x
  2. Step 2: Convert to fraction form
    16,442.01/22,690.19 = 9,727.46/x
  3. Step 3: Cross multiply
    16,442.01x = 22,690.19 × 9,727.46
  4. Step 4: Simplify right side
    16,442.01x = 220,718,039.21
  5. Step 5: Solve for x
    x = 220,718,039.21/16,442.01
  6. Step 6: Final answer
    x = 13,424.03

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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.