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Finding the Fourth Proportional to 13,722.98, 20,617.29 and 8,802.23

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Solution

The fourth proportional to 13,722.98, 20,617.29 and 8,802.23 is: 13,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.98 : 20,617.29 = 8,802.23 : x
  2. Step 2: Convert to fraction form
    13,722.98/20,617.29 = 8,802.23/x
  3. Step 3: Cross multiply
    13,722.98x = 20,617.29 × 8,802.23
  4. Step 4: Simplify right side
    13,722.98x = 181,478,025.47
  5. Step 5: Solve for x
    x = 181,478,025.47/13,722.98
  6. Step 6: Final answer
    x = 13,224.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.