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Finding the Fourth Proportional to 16,184.88, 22,336.08 and 9,111.60

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Solution

The fourth proportional to 16,184.88, 22,336.08 and 9,111.60 is: 12,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.88 : 22,336.08 = 9,111.60 : x
  2. Step 2: Convert to fraction form
    16,184.88/22,336.08 = 9,111.60/x
  3. Step 3: Cross multiply
    16,184.88x = 22,336.08 × 9,111.60
  4. Step 4: Simplify right side
    16,184.88x = 203,517,426.53
  5. Step 5: Solve for x
    x = 203,517,426.53/16,184.88
  6. Step 6: Final answer
    x = 12,574.54

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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.