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Finding the Fourth Proportional to 15,856.74, 21,882.09 and 8,783.13

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Solution

The fourth proportional to 15,856.74, 21,882.09 and 8,783.13 is: 12,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.74 : 21,882.09 = 8,783.13 : x
  2. Step 2: Convert to fraction form
    15,856.74/21,882.09 = 8,783.13/x
  3. Step 3: Cross multiply
    15,856.74x = 21,882.09 × 8,783.13
  4. Step 4: Simplify right side
    15,856.74x = 192,193,241.14
  5. Step 5: Solve for x
    x = 192,193,241.14/15,856.74
  6. Step 6: Final answer
    x = 12,120.60

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1.5x scale

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.