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Finding the Fourth Proportional to 15,851.69, 21,874.62 and 8,777.96

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Solution

The fourth proportional to 15,851.69, 21,874.62 and 8,777.96 is: 12,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.69 : 21,874.62 = 8,777.96 : x
  2. Step 2: Convert to fraction form
    15,851.69/21,874.62 = 8,777.96/x
  3. Step 3: Cross multiply
    15,851.69x = 21,874.62 × 8,777.96
  4. Step 4: Simplify right side
    15,851.69x = 192,014,539.38
  5. Step 5: Solve for x
    x = 192,014,539.38/15,851.69
  6. Step 6: Final answer
    x = 12,113.19

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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.