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Finding the Fourth Proportional to 21,293.76, 31,941 and 7,062.30

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Solution

The fourth proportional to 21,293.76, 31,941 and 7,062.30 is: 10,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.76 : 31,941 = 7,062.30 : x
  2. Step 2: Convert to fraction form
    21,293.76/31,941 = 7,062.30/x
  3. Step 3: Cross multiply
    21,293.76x = 31,941 × 7,062.30
  4. Step 4: Simplify right side
    21,293.76x = 225,576,924.30
  5. Step 5: Solve for x
    x = 225,576,924.30/21,293.76
  6. Step 6: Final answer
    x = 10,593.57

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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.