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Finding the Fourth Proportional to 24,970.42, 37,423.32 and 10,162

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Solution

The fourth proportional to 24,970.42, 37,423.32 and 10,162 is: 15,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970.42 : 37,423.32 = 10,162 : x
  2. Step 2: Convert to fraction form
    24,970.42/37,423.32 = 10,162/x
  3. Step 3: Cross multiply
    24,970.42x = 37,423.32 × 10,162
  4. Step 4: Simplify right side
    24,970.42x = 380,295,777.84
  5. Step 5: Solve for x
    x = 380,295,777.84/24,970.42
  6. Step 6: Final answer
    x = 15,229.85

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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.