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Finding the Fourth Proportional to 14,229, 19,637.21 and 8,260.27

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Solution

The fourth proportional to 14,229, 19,637.21 and 8,260.27 is: 11,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 19,637.21 = 8,260.27 : x
  2. Step 2: Convert to fraction form
    14,229/19,637.21 = 8,260.27/x
  3. Step 3: Cross multiply
    14,229x = 19,637.21 × 8,260.27
  4. Step 4: Simplify right side
    14,229x = 162,208,628.20
  5. Step 5: Solve for x
    x = 162,208,628.20/14,229
  6. Step 6: Final answer
    x = 11,399.86

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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.