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Finding the Fourth Proportional to 22,709.34, 34,060.17 and 6,289.50

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Solution

The fourth proportional to 22,709.34, 34,060.17 and 6,289.50 is: 9,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.34 : 34,060.17 = 6,289.50 : x
  2. Step 2: Convert to fraction form
    22,709.34/34,060.17 = 6,289.50/x
  3. Step 3: Cross multiply
    22,709.34x = 34,060.17 × 6,289.50
  4. Step 4: Simplify right side
    22,709.34x = 214,221,439.22
  5. Step 5: Solve for x
    x = 214,221,439.22/22,709.34
  6. Step 6: Final answer
    x = 9,433.19

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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.