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Finding the Fourth Proportional to 18,471.95, 27,710.64 and 6,784.26

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Solution

The fourth proportional to 18,471.95, 27,710.64 and 6,784.26 is: 10,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.95 : 27,710.64 = 6,784.26 : x
  2. Step 2: Convert to fraction form
    18,471.95/27,710.64 = 6,784.26/x
  3. Step 3: Cross multiply
    18,471.95x = 27,710.64 × 6,784.26
  4. Step 4: Simplify right side
    18,471.95x = 187,996,082.61
  5. Step 5: Solve for x
    x = 187,996,082.61/18,471.95
  6. Step 6: Final answer
    x = 10,177.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.