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Finding the Fourth Proportional to 27,409.38, 37,824.88 and 14,834.14

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Solution

The fourth proportional to 27,409.38, 37,824.88 and 14,834.14 is: 20,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.38 : 37,824.88 = 14,834.14 : x
  2. Step 2: Convert to fraction form
    27,409.38/37,824.88 = 14,834.14/x
  3. Step 3: Cross multiply
    27,409.38x = 37,824.88 × 14,834.14
  4. Step 4: Simplify right side
    27,409.38x = 561,099,565.40
  5. Step 5: Solve for x
    x = 561,099,565.40/27,409.38
  6. Step 6: Final answer
    x = 20,471.08

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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.