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Finding the Fourth Proportional to 13,812.50, 20,721.47 and 5,046.27

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Solution

The fourth proportional to 13,812.50, 20,721.47 and 5,046.27 is: 7,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.50 : 20,721.47 = 5,046.27 : x
  2. Step 2: Convert to fraction form
    13,812.50/20,721.47 = 5,046.27/x
  3. Step 3: Cross multiply
    13,812.50x = 20,721.47 × 5,046.27
  4. Step 4: Simplify right side
    13,812.50x = 104,566,107.19
  5. Step 5: Solve for x
    x = 104,566,107.19/13,812.50
  6. Step 6: Final answer
    x = 7,570.40

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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.