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Finding the Fourth Proportional to 15,775.26, 21,770 and 8,701.94

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Solution

The fourth proportional to 15,775.26, 21,770 and 8,701.94 is: 12,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.26 : 21,770 = 8,701.94 : x
  2. Step 2: Convert to fraction form
    15,775.26/21,770 = 8,701.94/x
  3. Step 3: Cross multiply
    15,775.26x = 21,770 × 8,701.94
  4. Step 4: Simplify right side
    15,775.26x = 189,441,233.80
  5. Step 5: Solve for x
    x = 189,441,233.80/15,775.26
  6. Step 6: Final answer
    x = 12,008.76

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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.