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Finding the Fourth Proportional to 23,357.02, 35,023.14 and 10,194.02

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Solution

The fourth proportional to 23,357.02, 35,023.14 and 10,194.02 is: 15,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.02 : 35,023.14 = 10,194.02 : x
  2. Step 2: Convert to fraction form
    23,357.02/35,023.14 = 10,194.02/x
  3. Step 3: Cross multiply
    23,357.02x = 35,023.14 × 10,194.02
  4. Step 4: Simplify right side
    23,357.02x = 357,026,589.62
  5. Step 5: Solve for x
    x = 357,026,589.62/23,357.02
  6. Step 6: Final answer
    x = 15,285.62

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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.