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Finding the Fourth Proportional to 27,698.56, 38,225.16 and 15,764

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Solution

The fourth proportional to 27,698.56, 38,225.16 and 15,764 is: 21,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.56 : 38,225.16 = 15,764 : x
  2. Step 2: Convert to fraction form
    27,698.56/38,225.16 = 15,764/x
  3. Step 3: Cross multiply
    27,698.56x = 38,225.16 × 15,764
  4. Step 4: Simplify right side
    27,698.56x = 602,581,422.24
  5. Step 5: Solve for x
    x = 602,581,422.24/27,698.56
  6. Step 6: Final answer
    x = 21,754.97

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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.