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Finding the Fourth Proportional to 13,502.64, 18,634.66 and 7,534.56

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Solution

The fourth proportional to 13,502.64, 18,634.66 and 7,534.56 is: 10,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.64 : 18,634.66 = 7,534.56 : x
  2. Step 2: Convert to fraction form
    13,502.64/18,634.66 = 7,534.56/x
  3. Step 3: Cross multiply
    13,502.64x = 18,634.66 × 7,534.56
  4. Step 4: Simplify right side
    13,502.64x = 140,403,963.85
  5. Step 5: Solve for x
    x = 140,403,963.85/13,502.64
  6. Step 6: Final answer
    x = 10,398.26

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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.