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Finding the Fourth Proportional to 24,336.50, 36,518.80 and 10,295.60

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Solution

The fourth proportional to 24,336.50, 36,518.80 and 10,295.60 is: 15,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.50 : 36,518.80 = 10,295.60 : x
  2. Step 2: Convert to fraction form
    24,336.50/36,518.80 = 10,295.60/x
  3. Step 3: Cross multiply
    24,336.50x = 36,518.80 × 10,295.60
  4. Step 4: Simplify right side
    24,336.50x = 375,982,957.28
  5. Step 5: Solve for x
    x = 375,982,957.28/24,336.50
  6. Step 6: Final answer
    x = 15,449.34

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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.