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Finding the Fourth Proportional to 27,913, 38,519.96 and 15,337.84

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Solution

The fourth proportional to 27,913, 38,519.96 and 15,337.84 is: 21,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913 : 38,519.96 = 15,337.84 : x
  2. Step 2: Convert to fraction form
    27,913/38,519.96 = 15,337.84/x
  3. Step 3: Cross multiply
    27,913x = 38,519.96 × 15,337.84
  4. Step 4: Simplify right side
    27,913x = 590,812,983.29
  5. Step 5: Solve for x
    x = 590,812,983.29/27,913
  6. Step 6: Final answer
    x = 21,166.23

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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.