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Finding the Fourth Proportional to 19,224, 26,529.12 and 10,392

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Solution

The fourth proportional to 19,224, 26,529.12 and 10,392 is: 14,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 26,529.12 = 10,392 : x
  2. Step 2: Convert to fraction form
    19,224/26,529.12 = 10,392/x
  3. Step 3: Cross multiply
    19,224x = 26,529.12 × 10,392
  4. Step 4: Simplify right side
    19,224x = 275,690,615.04
  5. Step 5: Solve for x
    x = 275,690,615.04/19,224
  6. Step 6: Final answer
    x = 14,340.96

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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.