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Finding the Fourth Proportional to 13,451.58, 18,564.39 and 8,146.08

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Solution

The fourth proportional to 13,451.58, 18,564.39 and 8,146.08 is: 11,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.58 : 18,564.39 = 8,146.08 : x
  2. Step 2: Convert to fraction form
    13,451.58/18,564.39 = 8,146.08/x
  3. Step 3: Cross multiply
    13,451.58x = 18,564.39 × 8,146.08
  4. Step 4: Simplify right side
    13,451.58x = 151,227,006.09
  5. Step 5: Solve for x
    x = 151,227,006.09/13,451.58
  6. Step 6: Final answer
    x = 11,242.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.