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Finding the Fourth Proportional to 13,599.30, 20,366.10 and 7,738.14

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Solution

The fourth proportional to 13,599.30, 20,366.10 and 7,738.14 is: 11,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.30 : 20,366.10 = 7,738.14 : x
  2. Step 2: Convert to fraction form
    13,599.30/20,366.10 = 7,738.14/x
  3. Step 3: Cross multiply
    13,599.30x = 20,366.10 × 7,738.14
  4. Step 4: Simplify right side
    13,599.30x = 157,595,733.05
  5. Step 5: Solve for x
    x = 157,595,733.05/13,599.30
  6. Step 6: Final answer
    x = 11,588.52

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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.