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Finding the Fourth Proportional to 13,697.55, 18,902.30 and 7,729.47

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Solution

The fourth proportional to 13,697.55, 18,902.30 and 7,729.47 is: 10,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.55 : 18,902.30 = 7,729.47 : x
  2. Step 2: Convert to fraction form
    13,697.55/18,902.30 = 7,729.47/x
  3. Step 3: Cross multiply
    13,697.55x = 18,902.30 × 7,729.47
  4. Step 4: Simplify right side
    13,697.55x = 146,104,722.13
  5. Step 5: Solve for x
    x = 146,104,722.13/13,697.55
  6. Step 6: Final answer
    x = 10,666.49

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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.