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Finding the Fourth Proportional to 19,892.28, 29,838.44 and 9,472.44

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Solution

The fourth proportional to 19,892.28, 29,838.44 and 9,472.44 is: 14,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.28 : 29,838.44 = 9,472.44 : x
  2. Step 2: Convert to fraction form
    19,892.28/29,838.44 = 9,472.44/x
  3. Step 3: Cross multiply
    19,892.28x = 29,838.44 × 9,472.44
  4. Step 4: Simplify right side
    19,892.28x = 282,642,832.59
  5. Step 5: Solve for x
    x = 282,642,832.59/19,892.28
  6. Step 6: Final answer
    x = 14,208.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.