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Finding the Fourth Proportional to 27,917, 38,525.48 and 15,341.84

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Solution

The fourth proportional to 27,917, 38,525.48 and 15,341.84 is: 21,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917 : 38,525.48 = 15,341.84 : x
  2. Step 2: Convert to fraction form
    27,917/38,525.48 = 15,341.84/x
  3. Step 3: Cross multiply
    27,917x = 38,525.48 × 15,341.84
  4. Step 4: Simplify right side
    27,917x = 591,051,750.08
  5. Step 5: Solve for x
    x = 591,051,750.08/27,917
  6. Step 6: Final answer
    x = 21,171.75

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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.