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Finding the Fourth Proportional to 19,814, 27,343.32 and 11,856.56

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Solution

The fourth proportional to 19,814, 27,343.32 and 11,856.56 is: 16,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814 : 27,343.32 = 11,856.56 : x
  2. Step 2: Convert to fraction form
    19,814/27,343.32 = 11,856.56/x
  3. Step 3: Cross multiply
    19,814x = 27,343.32 × 11,856.56
  4. Step 4: Simplify right side
    19,814x = 324,197,714.18
  5. Step 5: Solve for x
    x = 324,197,714.18/19,814
  6. Step 6: Final answer
    x = 16,362.05

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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.