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Finding the Fourth Proportional to 27,772.35, 38,326.86 and 15,835.56

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Solution

The fourth proportional to 27,772.35, 38,326.86 and 15,835.56 is: 21,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.35 : 38,326.86 = 15,835.56 : x
  2. Step 2: Convert to fraction form
    27,772.35/38,326.86 = 15,835.56/x
  3. Step 3: Cross multiply
    27,772.35x = 38,326.86 × 15,835.56
  4. Step 4: Simplify right side
    27,772.35x = 606,927,291.14
  5. Step 5: Solve for x
    x = 606,927,291.14/27,772.35
  6. Step 6: Final answer
    x = 21,853.65

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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.