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Finding the Fourth Proportional to 12,611.52, 18,896.52 and 7,666.20

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Solution

The fourth proportional to 12,611.52, 18,896.52 and 7,666.20 is: 11,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.52 : 18,896.52 = 7,666.20 : x
  2. Step 2: Convert to fraction form
    12,611.52/18,896.52 = 7,666.20/x
  3. Step 3: Cross multiply
    12,611.52x = 18,896.52 × 7,666.20
  4. Step 4: Simplify right side
    12,611.52x = 144,864,501.62
  5. Step 5: Solve for x
    x = 144,864,501.62/12,611.52
  6. Step 6: Final answer
    x = 11,486.68

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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.