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Finding the Fourth Proportional to 16,491.23, 24,731.71 and 5,395.45

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Solution

The fourth proportional to 16,491.23, 24,731.71 and 5,395.45 is: 8,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.23 : 24,731.71 = 5,395.45 : x
  2. Step 2: Convert to fraction form
    16,491.23/24,731.71 = 5,395.45/x
  3. Step 3: Cross multiply
    16,491.23x = 24,731.71 × 5,395.45
  4. Step 4: Simplify right side
    16,491.23x = 133,438,706.12
  5. Step 5: Solve for x
    x = 133,438,706.12/16,491.23
  6. Step 6: Final answer
    x = 8,091.50

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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.