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Finding the Fourth Proportional to 27,797.31, 38,358.23 and 15,697.06

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Solution

The fourth proportional to 27,797.31, 38,358.23 and 15,697.06 is: 21,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.31 : 38,358.23 = 15,697.06 : x
  2. Step 2: Convert to fraction form
    27,797.31/38,358.23 = 15,697.06/x
  3. Step 3: Cross multiply
    27,797.31x = 38,358.23 × 15,697.06
  4. Step 4: Simplify right side
    27,797.31x = 602,111,263.42
  5. Step 5: Solve for x
    x = 602,111,263.42/27,797.31
  6. Step 6: Final answer
    x = 21,660.77

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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.