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Finding the Fourth Proportional to 18,548.68, 27,824.12 and 6,070

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Solution

The fourth proportional to 18,548.68, 27,824.12 and 6,070 is: 9,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.68 : 27,824.12 = 6,070 : x
  2. Step 2: Convert to fraction form
    18,548.68/27,824.12 = 6,070/x
  3. Step 3: Cross multiply
    18,548.68x = 27,824.12 × 6,070
  4. Step 4: Simplify right side
    18,548.68x = 168,892,408.40
  5. Step 5: Solve for x
    x = 168,892,408.40/18,548.68
  6. Step 6: Final answer
    x = 9,105.36

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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.