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Finding the Fourth Proportional to 13,515.76, 20,283.94 and 10,889.68

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Solution

The fourth proportional to 13,515.76, 20,283.94 and 10,889.68 is: 16,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.76 : 20,283.94 = 10,889.68 : x
  2. Step 2: Convert to fraction form
    13,515.76/20,283.94 = 10,889.68/x
  3. Step 3: Cross multiply
    13,515.76x = 20,283.94 × 10,889.68
  4. Step 4: Simplify right side
    13,515.76x = 220,885,615.74
  5. Step 5: Solve for x
    x = 220,885,615.74/13,515.76
  6. Step 6: Final answer
    x = 16,342.82

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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.