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Finding the Fourth Proportional to 16,870.20, 25,305.40 and 7,009.50

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Solution

The fourth proportional to 16,870.20, 25,305.40 and 7,009.50 is: 10,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.20 : 25,305.40 = 7,009.50 : x
  2. Step 2: Convert to fraction form
    16,870.20/25,305.40 = 7,009.50/x
  3. Step 3: Cross multiply
    16,870.20x = 25,305.40 × 7,009.50
  4. Step 4: Simplify right side
    16,870.20x = 177,378,201.30
  5. Step 5: Solve for x
    x = 177,378,201.30/16,870.20
  6. Step 6: Final answer
    x = 10,514.29

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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.