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Finding the Fourth Proportional to 13,697.69, 18,902.84 and 7,410.06

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Solution

The fourth proportional to 13,697.69, 18,902.84 and 7,410.06 is: 10,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.69 : 18,902.84 = 7,410.06 : x
  2. Step 2: Convert to fraction form
    13,697.69/18,902.84 = 7,410.06/x
  3. Step 3: Cross multiply
    13,697.69x = 18,902.84 × 7,410.06
  4. Step 4: Simplify right side
    13,697.69x = 140,071,141.52
  5. Step 5: Solve for x
    x = 140,071,141.52/13,697.69
  6. Step 6: Final answer
    x = 10,225.90

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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.