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Finding the Fourth Proportional to 16,852.74, 25,285.66 and 6,989.50

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Solution

The fourth proportional to 16,852.74, 25,285.66 and 6,989.50 is: 10,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.74 : 25,285.66 = 6,989.50 : x
  2. Step 2: Convert to fraction form
    16,852.74/25,285.66 = 6,989.50/x
  3. Step 3: Cross multiply
    16,852.74x = 25,285.66 × 6,989.50
  4. Step 4: Simplify right side
    16,852.74x = 176,734,120.57
  5. Step 5: Solve for x
    x = 176,734,120.57/16,852.74
  6. Step 6: Final answer
    x = 10,486.97

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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.