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Finding the Fourth Proportional to 19,665.86, 29,491.77 and 6,336.14

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Solution

The fourth proportional to 19,665.86, 29,491.77 and 6,336.14 is: 9,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.86 : 29,491.77 = 6,336.14 : x
  2. Step 2: Convert to fraction form
    19,665.86/29,491.77 = 6,336.14/x
  3. Step 3: Cross multiply
    19,665.86x = 29,491.77 × 6,336.14
  4. Step 4: Simplify right side
    19,665.86x = 186,863,983.57
  5. Step 5: Solve for x
    x = 186,863,983.57/19,665.86
  6. Step 6: Final answer
    x = 9,501.95

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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.