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Finding the Fourth Proportional to 27,398.25, 37,809.59 and 14,823

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Solution

The fourth proportional to 27,398.25, 37,809.59 and 14,823 is: 20,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.25 : 37,809.59 = 14,823 : x
  2. Step 2: Convert to fraction form
    27,398.25/37,809.59 = 14,823/x
  3. Step 3: Cross multiply
    27,398.25x = 37,809.59 × 14,823
  4. Step 4: Simplify right side
    27,398.25x = 560,451,478.46
  5. Step 5: Solve for x
    x = 560,451,478.46/27,398.25
  6. Step 6: Final answer
    x = 20,455.74

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