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Finding the Fourth Proportional to 27,782.50, 38,339.85 and 15,207.25

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Solution

The fourth proportional to 27,782.50, 38,339.85 and 15,207.25 is: 20,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.50 : 38,339.85 = 15,207.25 : x
  2. Step 2: Convert to fraction form
    27,782.50/38,339.85 = 15,207.25/x
  3. Step 3: Cross multiply
    27,782.50x = 38,339.85 × 15,207.25
  4. Step 4: Simplify right side
    27,782.50x = 583,043,683.91
  5. Step 5: Solve for x
    x = 583,043,683.91/27,782.50
  6. Step 6: Final answer
    x = 20,986.01

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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.