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Finding the Fourth Proportional to 23,534, 35,293.51 and 7,735.39

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Solution

The fourth proportional to 23,534, 35,293.51 and 7,735.39 is: 11,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534 : 35,293.51 = 7,735.39 : x
  2. Step 2: Convert to fraction form
    23,534/35,293.51 = 7,735.39/x
  3. Step 3: Cross multiply
    23,534x = 35,293.51 × 7,735.39
  4. Step 4: Simplify right side
    23,534x = 273,009,064.32
  5. Step 5: Solve for x
    x = 273,009,064.32/23,534
  6. Step 6: Final answer
    x = 11,600.62

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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.