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Finding the Fourth Proportional to 23,624.77, 35,442.60 and 7,829.14

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Solution

The fourth proportional to 23,624.77, 35,442.60 and 7,829.14 is: 11,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.77 : 35,442.60 = 7,829.14 : x
  2. Step 2: Convert to fraction form
    23,624.77/35,442.60 = 7,829.14/x
  3. Step 3: Cross multiply
    23,624.77x = 35,442.60 × 7,829.14
  4. Step 4: Simplify right side
    23,624.77x = 277,485,077.36
  5. Step 5: Solve for x
    x = 277,485,077.36/23,624.77
  6. Step 6: Final answer
    x = 11,745.51

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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.