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Finding the Fourth Proportional to 18,237.52, 27,336.23 and 7,142.14

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Solution

The fourth proportional to 18,237.52, 27,336.23 and 7,142.14 is: 10,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.52 : 27,336.23 = 7,142.14 : x
  2. Step 2: Convert to fraction form
    18,237.52/27,336.23 = 7,142.14/x
  3. Step 3: Cross multiply
    18,237.52x = 27,336.23 × 7,142.14
  4. Step 4: Simplify right side
    18,237.52x = 195,239,009.34
  5. Step 5: Solve for x
    x = 195,239,009.34/18,237.52
  6. Step 6: Final answer
    x = 10,705.35

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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.