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Finding the Fourth Proportional to 24,896.57, 37,336.95 and 9,099.59

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Solution

The fourth proportional to 24,896.57, 37,336.95 and 9,099.59 is: 13,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.57 : 37,336.95 = 9,099.59 : x
  2. Step 2: Convert to fraction form
    24,896.57/37,336.95 = 9,099.59/x
  3. Step 3: Cross multiply
    24,896.57x = 37,336.95 × 9,099.59
  4. Step 4: Simplify right side
    24,896.57x = 339,750,960.19
  5. Step 5: Solve for x
    x = 339,750,960.19/24,896.57
  6. Step 6: Final answer
    x = 13,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.