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Finding the Fourth Proportional to 27,398.67, 37,810.17 and 14,823.42

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Solution

The fourth proportional to 27,398.67, 37,810.17 and 14,823.42 is: 20,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.67 : 37,810.17 = 14,823.42 : x
  2. Step 2: Convert to fraction form
    27,398.67/37,810.17 = 14,823.42/x
  3. Step 3: Cross multiply
    27,398.67x = 37,810.17 × 14,823.42
  4. Step 4: Simplify right side
    27,398.67x = 560,476,030.18
  5. Step 5: Solve for x
    x = 560,476,030.18/27,398.67
  6. Step 6: Final answer
    x = 20,456.32

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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.