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Finding the Fourth Proportional to 24,496.52, 36,749.64 and 8,915.36

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Solution

The fourth proportional to 24,496.52, 36,749.64 and 8,915.36 is: 13,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.52 : 36,749.64 = 8,915.36 : x
  2. Step 2: Convert to fraction form
    24,496.52/36,749.64 = 8,915.36/x
  3. Step 3: Cross multiply
    24,496.52x = 36,749.64 × 8,915.36
  4. Step 4: Simplify right side
    24,496.52x = 327,636,270.47
  5. Step 5: Solve for x
    x = 327,636,270.47/24,496.52
  6. Step 6: Final answer
    x = 13,374.81

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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.