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Finding the Fourth Proportional to 14,491.68, 19,999.27 and 8,117.90

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Solution

The fourth proportional to 14,491.68, 19,999.27 and 8,117.90 is: 11,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.68 : 19,999.27 = 8,117.90 : x
  2. Step 2: Convert to fraction form
    14,491.68/19,999.27 = 8,117.90/x
  3. Step 3: Cross multiply
    14,491.68x = 19,999.27 × 8,117.90
  4. Step 4: Simplify right side
    14,491.68x = 162,352,073.93
  5. Step 5: Solve for x
    x = 162,352,073.93/14,491.68
  6. Step 6: Final answer
    x = 11,203.12

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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.