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Finding the Fourth Proportional to 13,690.28, 18,892.56 and 7,402.64

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Solution

The fourth proportional to 13,690.28, 18,892.56 and 7,402.64 is: 10,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.28 : 18,892.56 = 7,402.64 : x
  2. Step 2: Convert to fraction form
    13,690.28/18,892.56 = 7,402.64/x
  3. Step 3: Cross multiply
    13,690.28x = 18,892.56 × 7,402.64
  4. Step 4: Simplify right side
    13,690.28x = 139,854,820.36
  5. Step 5: Solve for x
    x = 139,854,820.36/13,690.28
  6. Step 6: Final answer
    x = 10,215.63

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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.