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Finding the Fourth Proportional to 15,849.75, 21,873.05 and 8,776.42

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Solution

The fourth proportional to 15,849.75, 21,873.05 and 8,776.42 is: 12,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.75 : 21,873.05 = 8,776.42 : x
  2. Step 2: Convert to fraction form
    15,849.75/21,873.05 = 8,776.42/x
  3. Step 3: Cross multiply
    15,849.75x = 21,873.05 × 8,776.42
  4. Step 4: Simplify right side
    15,849.75x = 191,967,073.48
  5. Step 5: Solve for x
    x = 191,967,073.48/15,849.75
  6. Step 6: Final answer
    x = 12,111.68

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