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Finding the Fourth Proportional to 14,405.48, 19,882.14 and 8,436.80

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Solution

The fourth proportional to 14,405.48, 19,882.14 and 8,436.80 is: 11,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.48 : 19,882.14 = 8,436.80 : x
  2. Step 2: Convert to fraction form
    14,405.48/19,882.14 = 8,436.80/x
  3. Step 3: Cross multiply
    14,405.48x = 19,882.14 × 8,436.80
  4. Step 4: Simplify right side
    14,405.48x = 167,741,638.75
  5. Step 5: Solve for x
    x = 167,741,638.75/14,405.48
  6. Step 6: Final answer
    x = 11,644.29

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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.