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Finding the Fourth Proportional to 27,896.68, 38,498.34 and 15,322.60

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Solution

The fourth proportional to 27,896.68, 38,498.34 and 15,322.60 is: 21,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.68 : 38,498.34 = 15,322.60 : x
  2. Step 2: Convert to fraction form
    27,896.68/38,498.34 = 15,322.60/x
  3. Step 3: Cross multiply
    27,896.68x = 38,498.34 × 15,322.60
  4. Step 4: Simplify right side
    27,896.68x = 589,894,664.48
  5. Step 5: Solve for x
    x = 589,894,664.48/27,896.68
  6. Step 6: Final answer
    x = 21,145.69

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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.