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Finding the Fourth Proportional to 13,865.65, 20,806.71 and 5,106.71

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Solution

The fourth proportional to 13,865.65, 20,806.71 and 5,106.71 is: 7,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.65 : 20,806.71 = 5,106.71 : x
  2. Step 2: Convert to fraction form
    13,865.65/20,806.71 = 5,106.71/x
  3. Step 3: Cross multiply
    13,865.65x = 20,806.71 × 5,106.71
  4. Step 4: Simplify right side
    13,865.65x = 106,253,834.02
  5. Step 5: Solve for x
    x = 106,253,834.02/13,865.65
  6. Step 6: Final answer
    x = 7,663.10

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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.