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Finding the Fourth Proportional to 13,297.28, 18,349.44 and 7,707.20

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Solution

The fourth proportional to 13,297.28, 18,349.44 and 7,707.20 is: 10,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.28 : 18,349.44 = 7,707.20 : x
  2. Step 2: Convert to fraction form
    13,297.28/18,349.44 = 7,707.20/x
  3. Step 3: Cross multiply
    13,297.28x = 18,349.44 × 7,707.20
  4. Step 4: Simplify right side
    13,297.28x = 141,422,803.97
  5. Step 5: Solve for x
    x = 141,422,803.97/13,297.28
  6. Step 6: Final answer
    x = 10,635.47

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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.