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Finding the Fourth Proportional to 13,586.40, 18,759.60 and 9,406.80

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Solution

The fourth proportional to 13,586.40, 18,759.60 and 9,406.80 is: 12,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.40 : 18,759.60 = 9,406.80 : x
  2. Step 2: Convert to fraction form
    13,586.40/18,759.60 = 9,406.80/x
  3. Step 3: Cross multiply
    13,586.40x = 18,759.60 × 9,406.80
  4. Step 4: Simplify right side
    13,586.40x = 176,467,805.28
  5. Step 5: Solve for x
    x = 176,467,805.28/13,586.40
  6. Step 6: Final answer
    x = 12,988.56

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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.