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Finding the Fourth Proportional to 14,227.49, 19,633.92 and 8,259.41

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Solution

The fourth proportional to 14,227.49, 19,633.92 and 8,259.41 is: 11,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.49 : 19,633.92 = 8,259.41 : x
  2. Step 2: Convert to fraction form
    14,227.49/19,633.92 = 8,259.41/x
  3. Step 3: Cross multiply
    14,227.49x = 19,633.92 × 8,259.41
  4. Step 4: Simplify right side
    14,227.49x = 162,164,595.19
  5. Step 5: Solve for x
    x = 162,164,595.19/14,227.49
  6. Step 6: Final answer
    x = 11,397.98

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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.