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Finding the Fourth Proportional to 14,238, 19,648.24 and 8,273.03

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Solution

The fourth proportional to 14,238, 19,648.24 and 8,273.03 is: 11,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 19,648.24 = 8,273.03 : x
  2. Step 2: Convert to fraction form
    14,238/19,648.24 = 8,273.03/x
  3. Step 3: Cross multiply
    14,238x = 19,648.24 × 8,273.03
  4. Step 4: Simplify right side
    14,238x = 162,550,360.04
  5. Step 5: Solve for x
    x = 162,550,360.04/14,238
  6. Step 6: Final answer
    x = 11,416.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.