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Finding the Fourth Proportional to 22,872.34, 34,303.70 and 6,452.50

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Solution

The fourth proportional to 22,872.34, 34,303.70 and 6,452.50 is: 9,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.34 : 34,303.70 = 6,452.50 : x
  2. Step 2: Convert to fraction form
    22,872.34/34,303.70 = 6,452.50/x
  3. Step 3: Cross multiply
    22,872.34x = 34,303.70 × 6,452.50
  4. Step 4: Simplify right side
    22,872.34x = 221,344,624.25
  5. Step 5: Solve for x
    x = 221,344,624.25/22,872.34
  6. Step 6: Final answer
    x = 9,677.39

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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.