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Finding the Fourth Proportional to 15,516.67, 23,099.49 and 15,424.41

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Solution

The fourth proportional to 15,516.67, 23,099.49 and 15,424.41 is: 22,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.67 : 23,099.49 = 15,424.41 : x
  2. Step 2: Convert to fraction form
    15,516.67/23,099.49 = 15,424.41/x
  3. Step 3: Cross multiply
    15,516.67x = 23,099.49 × 15,424.41
  4. Step 4: Simplify right side
    15,516.67x = 356,296,004.55
  5. Step 5: Solve for x
    x = 356,296,004.55/15,516.67
  6. Step 6: Final answer
    x = 22,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.