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Finding the Fourth Proportional to 27,763.25, 38,313.90 and 15,188

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Solution

The fourth proportional to 27,763.25, 38,313.90 and 15,188 is: 20,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.25 : 38,313.90 = 15,188 : x
  2. Step 2: Convert to fraction form
    27,763.25/38,313.90 = 15,188/x
  3. Step 3: Cross multiply
    27,763.25x = 38,313.90 × 15,188
  4. Step 4: Simplify right side
    27,763.25x = 581,911,513.20
  5. Step 5: Solve for x
    x = 581,911,513.20/27,763.25
  6. Step 6: Final answer
    x = 20,959.78

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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.