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Finding the Fourth Proportional to 27,541, 38,006.58 and 14,965.75

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Solution

The fourth proportional to 27,541, 38,006.58 and 14,965.75 is: 20,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541 : 38,006.58 = 14,965.75 : x
  2. Step 2: Convert to fraction form
    27,541/38,006.58 = 14,965.75/x
  3. Step 3: Cross multiply
    27,541x = 38,006.58 × 14,965.75
  4. Step 4: Simplify right side
    27,541x = 568,796,974.64
  5. Step 5: Solve for x
    x = 568,796,974.64/27,541
  6. Step 6: Final answer
    x = 20,652.74

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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.