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Finding the Fourth Proportional to 13,386.97, 18,474.87 and 7,722.75

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Solution

The fourth proportional to 13,386.97, 18,474.87 and 7,722.75 is: 10,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.97 : 18,474.87 = 7,722.75 : x
  2. Step 2: Convert to fraction form
    13,386.97/18,474.87 = 7,722.75/x
  3. Step 3: Cross multiply
    13,386.97x = 18,474.87 × 7,722.75
  4. Step 4: Simplify right side
    13,386.97x = 142,676,802.29
  5. Step 5: Solve for x
    x = 142,676,802.29/13,386.97
  6. Step 6: Final answer
    x = 10,657.89

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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.