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Finding the Fourth Proportional to 18,553.36, 27,829.68 and 4,702

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Solution

The fourth proportional to 18,553.36, 27,829.68 and 4,702 is: 7,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.36 : 27,829.68 = 4,702 : x
  2. Step 2: Convert to fraction form
    18,553.36/27,829.68 = 4,702/x
  3. Step 3: Cross multiply
    18,553.36x = 27,829.68 × 4,702
  4. Step 4: Simplify right side
    18,553.36x = 130,855,155.36
  5. Step 5: Solve for x
    x = 130,855,155.36/18,553.36
  6. Step 6: Final answer
    x = 7,052.91

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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.