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Finding the Fourth Proportional to 15,344.94, 23,022.27 and 5,484

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Solution

The fourth proportional to 15,344.94, 23,022.27 and 5,484 is: 8,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.94 : 23,022.27 = 5,484 : x
  2. Step 2: Convert to fraction form
    15,344.94/23,022.27 = 5,484/x
  3. Step 3: Cross multiply
    15,344.94x = 23,022.27 × 5,484
  4. Step 4: Simplify right side
    15,344.94x = 126,254,128.68
  5. Step 5: Solve for x
    x = 126,254,128.68/15,344.94
  6. Step 6: Final answer
    x = 8,227.74

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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.