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Finding the Fourth Proportional to 13,881.69, 20,830.68 and 5,122.71

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Solution

The fourth proportional to 13,881.69, 20,830.68 and 5,122.71 is: 7,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.69 : 20,830.68 = 5,122.71 : x
  2. Step 2: Convert to fraction form
    13,881.69/20,830.68 = 5,122.71/x
  3. Step 3: Cross multiply
    13,881.69x = 20,830.68 × 5,122.71
  4. Step 4: Simplify right side
    13,881.69x = 106,709,532.74
  5. Step 5: Solve for x
    x = 106,709,532.74/13,881.69
  6. Step 6: Final answer
    x = 7,687.07

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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.