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Finding the Fourth Proportional to 12,634.60, 18,952.86 and 9,677.32

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Solution

The fourth proportional to 12,634.60, 18,952.86 and 9,677.32 is: 14,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.60 : 18,952.86 = 9,677.32 : x
  2. Step 2: Convert to fraction form
    12,634.60/18,952.86 = 9,677.32/x
  3. Step 3: Cross multiply
    12,634.60x = 18,952.86 × 9,677.32
  4. Step 4: Simplify right side
    12,634.60x = 183,412,891.14
  5. Step 5: Solve for x
    x = 183,412,891.14/12,634.60
  6. Step 6: Final answer
    x = 14,516.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.