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Finding the Fourth Proportional to 16,529.25, 24,794.01 and 6,141

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Solution

The fourth proportional to 16,529.25, 24,794.01 and 6,141 is: 9,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.25 : 24,794.01 = 6,141 : x
  2. Step 2: Convert to fraction form
    16,529.25/24,794.01 = 6,141/x
  3. Step 3: Cross multiply
    16,529.25x = 24,794.01 × 6,141
  4. Step 4: Simplify right side
    16,529.25x = 152,260,015.41
  5. Step 5: Solve for x
    x = 152,260,015.41/16,529.25
  6. Step 6: Final answer
    x = 9,211.55

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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.