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Finding the Fourth Proportional to 24,708.50, 37,066.59 and 8,296.34

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Solution

The fourth proportional to 24,708.50, 37,066.59 and 8,296.34 is: 12,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.50 : 37,066.59 = 8,296.34 : x
  2. Step 2: Convert to fraction form
    24,708.50/37,066.59 = 8,296.34/x
  3. Step 3: Cross multiply
    24,708.50x = 37,066.59 × 8,296.34
  4. Step 4: Simplify right side
    24,708.50x = 307,517,033.28
  5. Step 5: Solve for x
    x = 307,517,033.28/24,708.50
  6. Step 6: Final answer
    x = 12,445.80

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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.