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Finding the Fourth Proportional to 12,522.35, 17,281.38 and 6,933.35

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Solution

The fourth proportional to 12,522.35, 17,281.38 and 6,933.35 is: 9,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.35 : 17,281.38 = 6,933.35 : x
  2. Step 2: Convert to fraction form
    12,522.35/17,281.38 = 6,933.35/x
  3. Step 3: Cross multiply
    12,522.35x = 17,281.38 × 6,933.35
  4. Step 4: Simplify right side
    12,522.35x = 119,817,734.95
  5. Step 5: Solve for x
    x = 119,817,734.95/12,522.35
  6. Step 6: Final answer
    x = 9,568.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.