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Finding the Fourth Proportional to 27,471.96, 37,911.42 and 14,896.80

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Solution

The fourth proportional to 27,471.96, 37,911.42 and 14,896.80 is: 20,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.96 : 37,911.42 = 14,896.80 : x
  2. Step 2: Convert to fraction form
    27,471.96/37,911.42 = 14,896.80/x
  3. Step 3: Cross multiply
    27,471.96x = 37,911.42 × 14,896.80
  4. Step 4: Simplify right side
    27,471.96x = 564,758,841.46
  5. Step 5: Solve for x
    x = 564,758,841.46/27,471.96
  6. Step 6: Final answer
    x = 20,557.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.