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Finding the Fourth Proportional to 24,846.76, 34,288.02 and 13,516.48

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Solution

The fourth proportional to 24,846.76, 34,288.02 and 13,516.48 is: 18,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.76 : 34,288.02 = 13,516.48 : x
  2. Step 2: Convert to fraction form
    24,846.76/34,288.02 = 13,516.48/x
  3. Step 3: Cross multiply
    24,846.76x = 34,288.02 × 13,516.48
  4. Step 4: Simplify right side
    24,846.76x = 463,453,336.57
  5. Step 5: Solve for x
    x = 463,453,336.57/24,846.76
  6. Step 6: Final answer
    x = 18,652.47

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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.