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Finding the Fourth Proportional to 18,611.64, 27,906.66 and 7,509.24

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Solution

The fourth proportional to 18,611.64, 27,906.66 and 7,509.24 is: 11,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,611.64 : 27,906.66 = 7,509.24 : x
  2. Step 2: Convert to fraction form
    18,611.64/27,906.66 = 7,509.24/x
  3. Step 3: Cross multiply
    18,611.64x = 27,906.66 × 7,509.24
  4. Step 4: Simplify right side
    18,611.64x = 209,557,807.54
  5. Step 5: Solve for x
    x = 209,557,807.54/18,611.64
  6. Step 6: Final answer
    x = 11,259.50

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Why These Related Problems?

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