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Finding the Fourth Proportional to 15,843.56, 23,802.34 and 9,274.44

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Solution

The fourth proportional to 15,843.56, 23,802.34 and 9,274.44 is: 13,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.56 : 23,802.34 = 9,274.44 : x
  2. Step 2: Convert to fraction form
    15,843.56/23,802.34 = 9,274.44/x
  3. Step 3: Cross multiply
    15,843.56x = 23,802.34 × 9,274.44
  4. Step 4: Simplify right side
    15,843.56x = 220,753,374.19
  5. Step 5: Solve for x
    x = 220,753,374.19/15,843.56
  6. Step 6: Final answer
    x = 13,933.32

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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.