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Finding the Fourth Proportional to 27,782.88, 38,337.95 and 15,682.70

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Solution

The fourth proportional to 27,782.88, 38,337.95 and 15,682.70 is: 21,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.88 : 38,337.95 = 15,682.70 : x
  2. Step 2: Convert to fraction form
    27,782.88/38,337.95 = 15,682.70/x
  3. Step 3: Cross multiply
    27,782.88x = 38,337.95 × 15,682.70
  4. Step 4: Simplify right side
    27,782.88x = 601,242,298.36
  5. Step 5: Solve for x
    x = 601,242,298.36/27,782.88
  6. Step 6: Final answer
    x = 21,640.75

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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.