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Finding the Fourth Proportional to 13,409.69, 20,106.69 and 4,046.90

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Solution

The fourth proportional to 13,409.69, 20,106.69 and 4,046.90 is: 6,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.69 : 20,106.69 = 4,046.90 : x
  2. Step 2: Convert to fraction form
    13,409.69/20,106.69 = 4,046.90/x
  3. Step 3: Cross multiply
    13,409.69x = 20,106.69 × 4,046.90
  4. Step 4: Simplify right side
    13,409.69x = 81,369,642.99
  5. Step 5: Solve for x
    x = 81,369,642.99/13,409.69
  6. Step 6: Final answer
    x = 6,067.98

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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.