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Finding the Fourth Proportional to 16,598.40, 24,906.71 and 7,833.09

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Solution

The fourth proportional to 16,598.40, 24,906.71 and 7,833.09 is: 11,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.40 : 24,906.71 = 7,833.09 : x
  2. Step 2: Convert to fraction form
    16,598.40/24,906.71 = 7,833.09/x
  3. Step 3: Cross multiply
    16,598.40x = 24,906.71 × 7,833.09
  4. Step 4: Simplify right side
    16,598.40x = 195,096,376.50
  5. Step 5: Solve for x
    x = 195,096,376.50/16,598.40
  6. Step 6: Final answer
    x = 11,753.93

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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.