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Finding the Fourth Proportional to 27,404.14, 37,817.76 and 14,828.90

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Solution

The fourth proportional to 27,404.14, 37,817.76 and 14,828.90 is: 20,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.14 : 37,817.76 = 14,828.90 : x
  2. Step 2: Convert to fraction form
    27,404.14/37,817.76 = 14,828.90/x
  3. Step 3: Cross multiply
    27,404.14x = 37,817.76 × 14,828.90
  4. Step 4: Simplify right side
    27,404.14x = 560,795,781.26
  5. Step 5: Solve for x
    x = 560,795,781.26/27,404.14
  6. Step 6: Final answer
    x = 20,463.91

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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.