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Finding the Fourth Proportional to 27,771.10, 38,325.14 and 15,834.31

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Solution

The fourth proportional to 27,771.10, 38,325.14 and 15,834.31 is: 21,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.10 : 38,325.14 = 15,834.31 : x
  2. Step 2: Convert to fraction form
    27,771.10/38,325.14 = 15,834.31/x
  3. Step 3: Cross multiply
    27,771.10x = 38,325.14 × 15,834.31
  4. Step 4: Simplify right side
    27,771.10x = 606,852,147.55
  5. Step 5: Solve for x
    x = 606,852,147.55/27,771.10
  6. Step 6: Final answer
    x = 21,851.93

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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.