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Finding the Fourth Proportional to 13,406.52, 20,109.56 and 4,046.16

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Solution

The fourth proportional to 13,406.52, 20,109.56 and 4,046.16 is: 6,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.52 : 20,109.56 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    13,406.52/20,109.56 = 4,046.16/x
  3. Step 3: Cross multiply
    13,406.52x = 20,109.56 × 4,046.16
  4. Step 4: Simplify right side
    13,406.52x = 81,366,497.29
  5. Step 5: Solve for x
    x = 81,366,497.29/13,406.52
  6. Step 6: Final answer
    x = 6,069.17

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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.