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Finding the Fourth Proportional to 19,892.35, 29,838.53 and 9,355.82

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Solution

The fourth proportional to 19,892.35, 29,838.53 and 9,355.82 is: 14,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.35 : 29,838.53 = 9,355.82 : x
  2. Step 2: Convert to fraction form
    19,892.35/29,838.53 = 9,355.82/x
  3. Step 3: Cross multiply
    19,892.35x = 29,838.53 × 9,355.82
  4. Step 4: Simplify right side
    19,892.35x = 279,163,905.16
  5. Step 5: Solve for x
    x = 279,163,905.16/19,892.35
  6. Step 6: Final answer
    x = 14,033.73

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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.