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Finding the Fourth Proportional to 19,887.29, 29,829.38 and 11,562

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Solution

The fourth proportional to 19,887.29, 29,829.38 and 11,562 is: 17,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.29 : 29,829.38 = 11,562 : x
  2. Step 2: Convert to fraction form
    19,887.29/29,829.38 = 11,562/x
  3. Step 3: Cross multiply
    19,887.29x = 29,829.38 × 11,562
  4. Step 4: Simplify right side
    19,887.29x = 344,887,262.66
  5. Step 5: Solve for x
    x = 344,887,262.66/19,887.29
  6. Step 6: Final answer
    x = 17,342.09

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