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Finding the Fourth Proportional to 12,532.74, 18,808.20 and 10,096.98

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Solution

The fourth proportional to 12,532.74, 18,808.20 and 10,096.98 is: 15,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.74 : 18,808.20 = 10,096.98 : x
  2. Step 2: Convert to fraction form
    12,532.74/18,808.20 = 10,096.98/x
  3. Step 3: Cross multiply
    12,532.74x = 18,808.20 × 10,096.98
  4. Step 4: Simplify right side
    12,532.74x = 189,906,019.24
  5. Step 5: Solve for x
    x = 189,906,019.24/12,532.74
  6. Step 6: Final answer
    x = 15,152.79

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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.