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Finding the Fourth Proportional to 13,690.52, 18,892.89 and 7,722.17

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Solution

The fourth proportional to 13,690.52, 18,892.89 and 7,722.17 is: 10,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.52 : 18,892.89 = 7,722.17 : x
  2. Step 2: Convert to fraction form
    13,690.52/18,892.89 = 7,722.17/x
  3. Step 3: Cross multiply
    13,690.52x = 18,892.89 × 7,722.17
  4. Step 4: Simplify right side
    13,690.52x = 145,893,975.30
  5. Step 5: Solve for x
    x = 145,893,975.30/13,690.52
  6. Step 6: Final answer
    x = 10,656.57

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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.