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Finding the Fourth Proportional to 14,823.36, 20,457.99 and 8,363.16

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Solution

The fourth proportional to 14,823.36, 20,457.99 and 8,363.16 is: 11,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.36 : 20,457.99 = 8,363.16 : x
  2. Step 2: Convert to fraction form
    14,823.36/20,457.99 = 8,363.16/x
  3. Step 3: Cross multiply
    14,823.36x = 20,457.99 × 8,363.16
  4. Step 4: Simplify right side
    14,823.36x = 171,093,443.65
  5. Step 5: Solve for x
    x = 171,093,443.65/14,823.36
  6. Step 6: Final answer
    x = 11,542.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.