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Finding the Fourth Proportional to 27,397, 37,807.82 and 14,821.74

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Solution

The fourth proportional to 27,397, 37,807.82 and 14,821.74 is: 20,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397 : 37,807.82 = 14,821.74 : x
  2. Step 2: Convert to fraction form
    27,397/37,807.82 = 14,821.74/x
  3. Step 3: Cross multiply
    27,397x = 37,807.82 × 14,821.74
  4. Step 4: Simplify right side
    27,397x = 560,377,678.01
  5. Step 5: Solve for x
    x = 560,377,678.01/27,397
  6. Step 6: Final answer
    x = 20,453.98

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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.