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Finding the Fourth Proportional to 14,389.65, 19,853.82 and 8,422.80

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Solution

The fourth proportional to 14,389.65, 19,853.82 and 8,422.80 is: 11,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.65 : 19,853.82 = 8,422.80 : x
  2. Step 2: Convert to fraction form
    14,389.65/19,853.82 = 8,422.80/x
  3. Step 3: Cross multiply
    14,389.65x = 19,853.82 × 8,422.80
  4. Step 4: Simplify right side
    14,389.65x = 167,224,755.10
  5. Step 5: Solve for x
    x = 167,224,755.10/14,389.65
  6. Step 6: Final answer
    x = 11,621.18

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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.