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Finding the Fourth Proportional to 23,203.72, 34,807.68 and 6,564

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Solution

The fourth proportional to 23,203.72, 34,807.68 and 6,564 is: 9,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.72 : 34,807.68 = 6,564 : x
  2. Step 2: Convert to fraction form
    23,203.72/34,807.68 = 6,564/x
  3. Step 3: Cross multiply
    23,203.72x = 34,807.68 × 6,564
  4. Step 4: Simplify right side
    23,203.72x = 228,477,611.52
  5. Step 5: Solve for x
    x = 228,477,611.52/23,203.72
  6. Step 6: Final answer
    x = 9,846.59

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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.