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Finding the Fourth Proportional to 24,680.34, 37,011.84 and 6,906.22

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Solution

The fourth proportional to 24,680.34, 37,011.84 and 6,906.22 is: 10,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680.34 : 37,011.84 = 6,906.22 : x
  2. Step 2: Convert to fraction form
    24,680.34/37,011.84 = 6,906.22/x
  3. Step 3: Cross multiply
    24,680.34x = 37,011.84 × 6,906.22
  4. Step 4: Simplify right side
    24,680.34x = 255,611,909.64
  5. Step 5: Solve for x
    x = 255,611,909.64/24,680.34
  6. Step 6: Final answer
    x = 10,356.90

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