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Finding the Fourth Proportional to 14,192.66, 19,585.02 and 8,223.30

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Solution

The fourth proportional to 14,192.66, 19,585.02 and 8,223.30 is: 11,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.66 : 19,585.02 = 8,223.30 : x
  2. Step 2: Convert to fraction form
    14,192.66/19,585.02 = 8,223.30/x
  3. Step 3: Cross multiply
    14,192.66x = 19,585.02 × 8,223.30
  4. Step 4: Simplify right side
    14,192.66x = 161,053,494.97
  5. Step 5: Solve for x
    x = 161,053,494.97/14,192.66
  6. Step 6: Final answer
    x = 11,347.66

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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.