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Finding the Fourth Proportional to 27,684.52, 41,526.78 and 10,147.72

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Solution

The fourth proportional to 27,684.52, 41,526.78 and 10,147.72 is: 15,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.52 : 41,526.78 = 10,147.72 : x
  2. Step 2: Convert to fraction form
    27,684.52/41,526.78 = 10,147.72/x
  3. Step 3: Cross multiply
    27,684.52x = 41,526.78 × 10,147.72
  4. Step 4: Simplify right side
    27,684.52x = 421,402,135.94
  5. Step 5: Solve for x
    x = 421,402,135.94/27,684.52
  6. Step 6: Final answer
    x = 15,221.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.