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Finding the Fourth Proportional to 13,459.95, 20,190.03 and 5,137.74

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Solution

The fourth proportional to 13,459.95, 20,190.03 and 5,137.74 is: 7,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.95 : 20,190.03 = 5,137.74 : x
  2. Step 2: Convert to fraction form
    13,459.95/20,190.03 = 5,137.74/x
  3. Step 3: Cross multiply
    13,459.95x = 20,190.03 × 5,137.74
  4. Step 4: Simplify right side
    13,459.95x = 103,731,124.73
  5. Step 5: Solve for x
    x = 103,731,124.73/13,459.95
  6. Step 6: Final answer
    x = 7,706.65

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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.