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Finding the Fourth Proportional to 18,342.34, 27,513.52 and 9,575.22

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Solution

The fourth proportional to 18,342.34, 27,513.52 and 9,575.22 is: 14,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.34 : 27,513.52 = 9,575.22 : x
  2. Step 2: Convert to fraction form
    18,342.34/27,513.52 = 9,575.22/x
  3. Step 3: Cross multiply
    18,342.34x = 27,513.52 × 9,575.22
  4. Step 4: Simplify right side
    18,342.34x = 263,448,006.97
  5. Step 5: Solve for x
    x = 263,448,006.97/18,342.34
  6. Step 6: Final answer
    x = 14,362.84

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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.