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Finding the Fourth Proportional to 20,749.47, 31,126.14 and 8,266.47

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Solution

The fourth proportional to 20,749.47, 31,126.14 and 8,266.47 is: 12,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.47 : 31,126.14 = 8,266.47 : x
  2. Step 2: Convert to fraction form
    20,749.47/31,126.14 = 8,266.47/x
  3. Step 3: Cross multiply
    20,749.47x = 31,126.14 × 8,266.47
  4. Step 4: Simplify right side
    20,749.47x = 257,303,302.53
  5. Step 5: Solve for x
    x = 257,303,302.53/20,749.47
  6. Step 6: Final answer
    x = 12,400.48

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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.