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Finding the Fourth Proportional to 14,192.55, 19,584.86 and 8,223.18

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Solution

The fourth proportional to 14,192.55, 19,584.86 and 8,223.18 is: 11,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.55 : 19,584.86 = 8,223.18 : x
  2. Step 2: Convert to fraction form
    14,192.55/19,584.86 = 8,223.18/x
  3. Step 3: Cross multiply
    14,192.55x = 19,584.86 × 8,223.18
  4. Step 4: Simplify right side
    14,192.55x = 161,049,787.94
  5. Step 5: Solve for x
    x = 161,049,787.94/14,192.55
  6. Step 6: Final answer
    x = 11,347.49

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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.