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Finding the Fourth Proportional to 51,006.86, 76,504.19 and 13,569.67

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Solution

The fourth proportional to 51,006.86, 76,504.19 and 13,569.67 is: 20,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.86 : 76,504.19 = 13,569.67 : x
  2. Step 2: Convert to fraction form
    51,006.86/76,504.19 = 13,569.67/x
  3. Step 3: Cross multiply
    51,006.86x = 76,504.19 × 13,569.67
  4. Step 4: Simplify right side
    51,006.86x = 1,038,136,611.92
  5. Step 5: Solve for x
    x = 1,038,136,611.92/51,006.86
  6. Step 6: Final answer
    x = 20,352.88

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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.