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Finding the Fourth Proportional to 16,111, 22,233.18 and 9,824.68

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Solution

The fourth proportional to 16,111, 22,233.18 and 9,824.68 is: 13,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111 : 22,233.18 = 9,824.68 : x
  2. Step 2: Convert to fraction form
    16,111/22,233.18 = 9,824.68/x
  3. Step 3: Cross multiply
    16,111x = 22,233.18 × 9,824.68
  4. Step 4: Simplify right side
    16,111x = 218,433,878.88
  5. Step 5: Solve for x
    x = 218,433,878.88/16,111
  6. Step 6: Final answer
    x = 13,558.06

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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.