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Finding the Fourth Proportional to 23,533.44, 35,298.92 and 6,002.20

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Solution

The fourth proportional to 23,533.44, 35,298.92 and 6,002.20 is: 9,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.44 : 35,298.92 = 6,002.20 : x
  2. Step 2: Convert to fraction form
    23,533.44/35,298.92 = 6,002.20/x
  3. Step 3: Cross multiply
    23,533.44x = 35,298.92 × 6,002.20
  4. Step 4: Simplify right side
    23,533.44x = 211,871,177.62
  5. Step 5: Solve for x
    x = 211,871,177.62/23,533.44
  6. Step 6: Final answer
    x = 9,002.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.