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Finding the Fourth Proportional to 14,321.71, 19,763.54 and 8,352.97

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Solution

The fourth proportional to 14,321.71, 19,763.54 and 8,352.97 is: 11,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.71 : 19,763.54 = 8,352.97 : x
  2. Step 2: Convert to fraction form
    14,321.71/19,763.54 = 8,352.97/x
  3. Step 3: Cross multiply
    14,321.71x = 19,763.54 × 8,352.97
  4. Step 4: Simplify right side
    14,321.71x = 165,084,355.02
  5. Step 5: Solve for x
    x = 165,084,355.02/14,321.71
  6. Step 6: Final answer
    x = 11,526.86

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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.