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Finding the Fourth Proportional to 14,192.76, 19,585.07 and 8,223.37

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Solution

The fourth proportional to 14,192.76, 19,585.07 and 8,223.37 is: 11,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.76 : 19,585.07 = 8,223.37 : x
  2. Step 2: Convert to fraction form
    14,192.76/19,585.07 = 8,223.37/x
  3. Step 3: Cross multiply
    14,192.76x = 19,585.07 × 8,223.37
  4. Step 4: Simplify right side
    14,192.76x = 161,055,217.84
  5. Step 5: Solve for x
    x = 161,055,217.84/14,192.76
  6. Step 6: Final answer
    x = 11,347.70

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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.