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Finding the Fourth Proportional to 15,705.20, 23,596.20 and 11,817.20

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Solution

The fourth proportional to 15,705.20, 23,596.20 and 11,817.20 is: 17,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.20 : 23,596.20 = 11,817.20 : x
  2. Step 2: Convert to fraction form
    15,705.20/23,596.20 = 11,817.20/x
  3. Step 3: Cross multiply
    15,705.20x = 23,596.20 × 11,817.20
  4. Step 4: Simplify right side
    15,705.20x = 278,841,014.64
  5. Step 5: Solve for x
    x = 278,841,014.64/15,705.20
  6. Step 6: Final answer
    x = 17,754.69

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1.5x scale

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.