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Finding the Fourth Proportional to 13,422.61, 20,133.93 and 5,100.67

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Solution

The fourth proportional to 13,422.61, 20,133.93 and 5,100.67 is: 7,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.61 : 20,133.93 = 5,100.67 : x
  2. Step 2: Convert to fraction form
    13,422.61/20,133.93 = 5,100.67/x
  3. Step 3: Cross multiply
    13,422.61x = 20,133.93 × 5,100.67
  4. Step 4: Simplify right side
    13,422.61x = 102,696,532.73
  5. Step 5: Solve for x
    x = 102,696,532.73/13,422.61
  6. Step 6: Final answer
    x = 7,651.01

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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.