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Finding the Fourth Proportional to 12,491.66, 18,720.12 and 9,705.62

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Solution

The fourth proportional to 12,491.66, 18,720.12 and 9,705.62 is: 14,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.66 : 18,720.12 = 9,705.62 : x
  2. Step 2: Convert to fraction form
    12,491.66/18,720.12 = 9,705.62/x
  3. Step 3: Cross multiply
    12,491.66x = 18,720.12 × 9,705.62
  4. Step 4: Simplify right side
    12,491.66x = 181,690,371.07
  5. Step 5: Solve for x
    x = 181,690,371.07/12,491.66
  6. Step 6: Final answer
    x = 14,544.93

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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.