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Finding the Fourth Proportional to 19,661.58, 29,486.07 and 6,511.14

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Solution

The fourth proportional to 19,661.58, 29,486.07 and 6,511.14 is: 9,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.58 : 29,486.07 = 6,511.14 : x
  2. Step 2: Convert to fraction form
    19,661.58/29,486.07 = 6,511.14/x
  3. Step 3: Cross multiply
    19,661.58x = 29,486.07 × 6,511.14
  4. Step 4: Simplify right side
    19,661.58x = 191,987,929.82
  5. Step 5: Solve for x
    x = 191,987,929.82/19,661.58
  6. Step 6: Final answer
    x = 9,764.62

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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.