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Finding the Fourth Proportional to 23,205.21, 34,807.95 and 6,564.84

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Solution

The fourth proportional to 23,205.21, 34,807.95 and 6,564.84 is: 9,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.21 : 34,807.95 = 6,564.84 : x
  2. Step 2: Convert to fraction form
    23,205.21/34,807.95 = 6,564.84/x
  3. Step 3: Cross multiply
    23,205.21x = 34,807.95 × 6,564.84
  4. Step 4: Simplify right side
    23,205.21x = 228,508,622.48
  5. Step 5: Solve for x
    x = 228,508,622.48/23,205.21
  6. Step 6: Final answer
    x = 9,847.30

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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.