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Finding the Fourth Proportional to 18,564.46, 27,840.39 and 7,468.36

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Solution

The fourth proportional to 18,564.46, 27,840.39 and 7,468.36 is: 11,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.46 : 27,840.39 = 7,468.36 : x
  2. Step 2: Convert to fraction form
    18,564.46/27,840.39 = 7,468.36/x
  3. Step 3: Cross multiply
    18,564.46x = 27,840.39 × 7,468.36
  4. Step 4: Simplify right side
    18,564.46x = 207,922,055.06
  5. Step 5: Solve for x
    x = 207,922,055.06/18,564.46
  6. Step 6: Final answer
    x = 11,200.01

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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.