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Finding the Fourth Proportional to 23,735.73, 35,602.38 and 7,095.90

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Solution

The fourth proportional to 23,735.73, 35,602.38 and 7,095.90 is: 10,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735.73 : 35,602.38 = 7,095.90 : x
  2. Step 2: Convert to fraction form
    23,735.73/35,602.38 = 7,095.90/x
  3. Step 3: Cross multiply
    23,735.73x = 35,602.38 × 7,095.90
  4. Step 4: Simplify right side
    23,735.73x = 252,630,892.76
  5. Step 5: Solve for x
    x = 252,630,892.76/23,735.73
  6. Step 6: Final answer
    x = 10,643.49

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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.