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Finding the Fourth Proportional to 19,883.16, 29,829.61 and 9,892.62

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Solution

The fourth proportional to 19,883.16, 29,829.61 and 9,892.62 is: 14,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.16 : 29,829.61 = 9,892.62 : x
  2. Step 2: Convert to fraction form
    19,883.16/29,829.61 = 9,892.62/x
  3. Step 3: Cross multiply
    19,883.16x = 29,829.61 × 9,892.62
  4. Step 4: Simplify right side
    19,883.16x = 295,092,996.48
  5. Step 5: Solve for x
    x = 295,092,996.48/19,883.16
  6. Step 6: Final answer
    x = 14,841.35

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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.