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Finding the Fourth Proportional to 13,534.29, 18,677.46 and 7,566.29

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Solution

The fourth proportional to 13,534.29, 18,677.46 and 7,566.29 is: 10,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.29 : 18,677.46 = 7,566.29 : x
  2. Step 2: Convert to fraction form
    13,534.29/18,677.46 = 7,566.29/x
  3. Step 3: Cross multiply
    13,534.29x = 18,677.46 × 7,566.29
  4. Step 4: Simplify right side
    13,534.29x = 141,319,078.82
  5. Step 5: Solve for x
    x = 141,319,078.82/13,534.29
  6. Step 6: Final answer
    x = 10,441.56

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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.