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Finding the Fourth Proportional to 16,185.69, 22,335.75 and 9,111.96

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Solution

The fourth proportional to 16,185.69, 22,335.75 and 9,111.96 is: 12,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.69 : 22,335.75 = 9,111.96 : x
  2. Step 2: Convert to fraction form
    16,185.69/22,335.75 = 9,111.96/x
  3. Step 3: Cross multiply
    16,185.69x = 22,335.75 × 9,111.96
  4. Step 4: Simplify right side
    16,185.69x = 203,522,460.57
  5. Step 5: Solve for x
    x = 203,522,460.57/16,185.69
  6. Step 6: Final answer
    x = 12,574.22

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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.