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Finding the Fourth Proportional to 16,404.71, 24,610.97 and 5,311.40

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Solution

The fourth proportional to 16,404.71, 24,610.97 and 5,311.40 is: 7,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.71 : 24,610.97 = 5,311.40 : x
  2. Step 2: Convert to fraction form
    16,404.71/24,610.97 = 5,311.40/x
  3. Step 3: Cross multiply
    16,404.71x = 24,610.97 × 5,311.40
  4. Step 4: Simplify right side
    16,404.71x = 130,718,706.06
  5. Step 5: Solve for x
    x = 130,718,706.06/16,404.71
  6. Step 6: Final answer
    x = 7,968.36

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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.