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Finding the Fourth Proportional to 14,223.24, 19,628.34 and 8,255.40

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Solution

The fourth proportional to 14,223.24, 19,628.34 and 8,255.40 is: 11,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.24 : 19,628.34 = 8,255.40 : x
  2. Step 2: Convert to fraction form
    14,223.24/19,628.34 = 8,255.40/x
  3. Step 3: Cross multiply
    14,223.24x = 19,628.34 × 8,255.40
  4. Step 4: Simplify right side
    14,223.24x = 162,039,798.04
  5. Step 5: Solve for x
    x = 162,039,798.04/14,223.24
  6. Step 6: Final answer
    x = 11,392.61

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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.