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Finding the Fourth Proportional to 13,697.31, 18,901.98 and 7,728.83

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Solution

The fourth proportional to 13,697.31, 18,901.98 and 7,728.83 is: 10,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.31 : 18,901.98 = 7,728.83 : x
  2. Step 2: Convert to fraction form
    13,697.31/18,901.98 = 7,728.83/x
  3. Step 3: Cross multiply
    13,697.31x = 18,901.98 × 7,728.83
  4. Step 4: Simplify right side
    13,697.31x = 146,090,095.57
  5. Step 5: Solve for x
    x = 146,090,095.57/13,697.31
  6. Step 6: Final answer
    x = 10,665.60

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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.