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Finding the Fourth Proportional to 13,534.16, 18,677.39 and 7,566.48

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Solution

The fourth proportional to 13,534.16, 18,677.39 and 7,566.48 is: 10,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.16 : 18,677.39 = 7,566.48 : x
  2. Step 2: Convert to fraction form
    13,534.16/18,677.39 = 7,566.48/x
  3. Step 3: Cross multiply
    13,534.16x = 18,677.39 × 7,566.48
  4. Step 4: Simplify right side
    13,534.16x = 141,322,060.05
  5. Step 5: Solve for x
    x = 141,322,060.05/13,534.16
  6. Step 6: Final answer
    x = 10,441.88

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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.