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Finding the Fourth Proportional to 13,665.47, 18,858.41 and 7,697.22

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Solution

The fourth proportional to 13,665.47, 18,858.41 and 7,697.22 is: 10,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.47 : 18,858.41 = 7,697.22 : x
  2. Step 2: Convert to fraction form
    13,665.47/18,858.41 = 7,697.22/x
  3. Step 3: Cross multiply
    13,665.47x = 18,858.41 × 7,697.22
  4. Step 4: Simplify right side
    13,665.47x = 145,157,292.13
  5. Step 5: Solve for x
    x = 145,157,292.13/13,665.47
  6. Step 6: Final answer
    x = 10,622.20

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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.