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Finding the Fourth Proportional to 15,770.38, 21,762.72 and 8,696.35

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Solution

The fourth proportional to 15,770.38, 21,762.72 and 8,696.35 is: 12,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.38 : 21,762.72 = 8,696.35 : x
  2. Step 2: Convert to fraction form
    15,770.38/21,762.72 = 8,696.35/x
  3. Step 3: Cross multiply
    15,770.38x = 21,762.72 × 8,696.35
  4. Step 4: Simplify right side
    15,770.38x = 189,256,175.67
  5. Step 5: Solve for x
    x = 189,256,175.67/15,770.38
  6. Step 6: Final answer
    x = 12,000.74

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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.