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Finding the Fourth Proportional to 27,782.67, 38,339.78 and 15,035.57

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Solution

The fourth proportional to 27,782.67, 38,339.78 and 15,035.57 is: 20,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.67 : 38,339.78 = 15,035.57 : x
  2. Step 2: Convert to fraction form
    27,782.67/38,339.78 = 15,035.57/x
  3. Step 3: Cross multiply
    27,782.67x = 38,339.78 × 15,035.57
  4. Step 4: Simplify right side
    27,782.67x = 576,460,445.97
  5. Step 5: Solve for x
    x = 576,460,445.97/27,782.67
  6. Step 6: Final answer
    x = 20,748.92

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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.