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Finding the Fourth Proportional to 13,604.49, 20,412.54 and 7,685.82

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Solution

The fourth proportional to 13,604.49, 20,412.54 and 7,685.82 is: 11,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.49 : 20,412.54 = 7,685.82 : x
  2. Step 2: Convert to fraction form
    13,604.49/20,412.54 = 7,685.82/x
  3. Step 3: Cross multiply
    13,604.49x = 20,412.54 × 7,685.82
  4. Step 4: Simplify right side
    13,604.49x = 156,887,108.18
  5. Step 5: Solve for x
    x = 156,887,108.18/13,604.49
  6. Step 6: Final answer
    x = 11,532.01

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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.