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Finding the Fourth Proportional to 13,566.65, 18,724.55 and 7,902.26

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Solution

The fourth proportional to 13,566.65, 18,724.55 and 7,902.26 is: 10,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.65 : 18,724.55 = 7,902.26 : x
  2. Step 2: Convert to fraction form
    13,566.65/18,724.55 = 7,902.26/x
  3. Step 3: Cross multiply
    13,566.65x = 18,724.55 × 7,902.26
  4. Step 4: Simplify right side
    13,566.65x = 147,966,129.35
  5. Step 5: Solve for x
    x = 147,966,129.35/13,566.65
  6. Step 6: Final answer
    x = 10,906.61

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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.