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Finding the Fourth Proportional to 13,802.97, 20,707.76 and 4,443.87

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Solution

The fourth proportional to 13,802.97, 20,707.76 and 4,443.87 is: 6,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.97 : 20,707.76 = 4,443.87 : x
  2. Step 2: Convert to fraction form
    13,802.97/20,707.76 = 4,443.87/x
  3. Step 3: Cross multiply
    13,802.97x = 20,707.76 × 4,443.87
  4. Step 4: Simplify right side
    13,802.97x = 92,022,489.89
  5. Step 5: Solve for x
    x = 92,022,489.89/13,802.97
  6. Step 6: Final answer
    x = 6,666.86

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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.