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Finding the Fourth Proportional to 16,116.27, 22,235.11 and 9,744.81

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Solution

The fourth proportional to 16,116.27, 22,235.11 and 9,744.81 is: 13,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.27 : 22,235.11 = 9,744.81 : x
  2. Step 2: Convert to fraction form
    16,116.27/22,235.11 = 9,744.81/x
  3. Step 3: Cross multiply
    16,116.27x = 22,235.11 × 9,744.81
  4. Step 4: Simplify right side
    16,116.27x = 216,676,814.54
  5. Step 5: Solve for x
    x = 216,676,814.54/16,116.27
  6. Step 6: Final answer
    x = 13,444.60

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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.