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Finding the Fourth Proportional to 27,797.86, 38,365.47 and 15,865.06

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Solution

The fourth proportional to 27,797.86, 38,365.47 and 15,865.06 is: 21,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.86 : 38,365.47 = 15,865.06 : x
  2. Step 2: Convert to fraction form
    27,797.86/38,365.47 = 15,865.06/x
  3. Step 3: Cross multiply
    27,797.86x = 38,365.47 × 15,865.06
  4. Step 4: Simplify right side
    27,797.86x = 608,670,483.48
  5. Step 5: Solve for x
    x = 608,670,483.48/27,797.86
  6. Step 6: Final answer
    x = 21,896.31

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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.