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Finding the Fourth Proportional to 27,398.49, 37,809.90 and 14,823.24

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Solution

The fourth proportional to 27,398.49, 37,809.90 and 14,823.24 is: 20,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.49 : 37,809.90 = 14,823.24 : x
  2. Step 2: Convert to fraction form
    27,398.49/37,809.90 = 14,823.24/x
  3. Step 3: Cross multiply
    27,398.49x = 37,809.90 × 14,823.24
  4. Step 4: Simplify right side
    27,398.49x = 560,465,222.08
  5. Step 5: Solve for x
    x = 560,465,222.08/27,398.49
  6. Step 6: Final answer
    x = 20,456.06

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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.