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Finding the Fourth Proportional to 18,655.92, 27,984.16 and 4,616

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Solution

The fourth proportional to 18,655.92, 27,984.16 and 4,616 is: 6,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.92 : 27,984.16 = 4,616 : x
  2. Step 2: Convert to fraction form
    18,655.92/27,984.16 = 4,616/x
  3. Step 3: Cross multiply
    18,655.92x = 27,984.16 × 4,616
  4. Step 4: Simplify right side
    18,655.92x = 129,174,882.56
  5. Step 5: Solve for x
    x = 129,174,882.56/18,655.92
  6. Step 6: Final answer
    x = 6,924.07

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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.