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Finding the Fourth Proportional to 16,991.81, 25,506.17 and 12,535.50

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Solution

The fourth proportional to 16,991.81, 25,506.17 and 12,535.50 is: 18,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991.81 : 25,506.17 = 12,535.50 : x
  2. Step 2: Convert to fraction form
    16,991.81/25,506.17 = 12,535.50/x
  3. Step 3: Cross multiply
    16,991.81x = 25,506.17 × 12,535.50
  4. Step 4: Simplify right side
    16,991.81x = 319,732,594.04
  5. Step 5: Solve for x
    x = 319,732,594.04/16,991.81
  6. Step 6: Final answer
    x = 18,816.86

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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.