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Finding the Fourth Proportional to 15,682.35, 21,641.67 and 9,310.22

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Solution

The fourth proportional to 15,682.35, 21,641.67 and 9,310.22 is: 12,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.35 : 21,641.67 = 9,310.22 : x
  2. Step 2: Convert to fraction form
    15,682.35/21,641.67 = 9,310.22/x
  3. Step 3: Cross multiply
    15,682.35x = 21,641.67 × 9,310.22
  4. Step 4: Simplify right side
    15,682.35x = 201,488,577.38
  5. Step 5: Solve for x
    x = 201,488,577.38/15,682.35
  6. Step 6: Final answer
    x = 12,848.12

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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.