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Finding the Fourth Proportional to 19,828.95, 29,734 and 11,511.52

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Solution

The fourth proportional to 19,828.95, 29,734 and 11,511.52 is: 17,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.95 : 29,734 = 11,511.52 : x
  2. Step 2: Convert to fraction form
    19,828.95/29,734 = 11,511.52/x
  3. Step 3: Cross multiply
    19,828.95x = 29,734 × 11,511.52
  4. Step 4: Simplify right side
    19,828.95x = 342,283,535.68
  5. Step 5: Solve for x
    x = 342,283,535.68/19,828.95
  6. Step 6: Final answer
    x = 17,261.81

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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.