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Finding the Fourth Proportional to 14,409.88, 19,902.03 and 9,685.96

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Solution

The fourth proportional to 14,409.88, 19,902.03 and 9,685.96 is: 13,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.88 : 19,902.03 = 9,685.96 : x
  2. Step 2: Convert to fraction form
    14,409.88/19,902.03 = 9,685.96/x
  3. Step 3: Cross multiply
    14,409.88x = 19,902.03 × 9,685.96
  4. Step 4: Simplify right side
    14,409.88x = 192,770,266.50
  5. Step 5: Solve for x
    x = 192,770,266.50/14,409.88
  6. Step 6: Final answer
    x = 13,377.65

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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.