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Finding the Fourth Proportional to 15,856.50, 21,881.97 and 8,783.38

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Solution

The fourth proportional to 15,856.50, 21,881.97 and 8,783.38 is: 12,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.50 : 21,881.97 = 8,783.38 : x
  2. Step 2: Convert to fraction form
    15,856.50/21,881.97 = 8,783.38/x
  3. Step 3: Cross multiply
    15,856.50x = 21,881.97 × 8,783.38
  4. Step 4: Simplify right side
    15,856.50x = 192,197,657.66
  5. Step 5: Solve for x
    x = 192,197,657.66/15,856.50
  6. Step 6: Final answer
    x = 12,121.06

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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.