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Finding the Fourth Proportional to 13,474.25, 20,210.68 and 5,153.63

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Solution

The fourth proportional to 13,474.25, 20,210.68 and 5,153.63 is: 7,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.25 : 20,210.68 = 5,153.63 : x
  2. Step 2: Convert to fraction form
    13,474.25/20,210.68 = 5,153.63/x
  3. Step 3: Cross multiply
    13,474.25x = 20,210.68 × 5,153.63
  4. Step 4: Simplify right side
    13,474.25x = 104,158,272.16
  5. Step 5: Solve for x
    x = 104,158,272.16/13,474.25
  6. Step 6: Final answer
    x = 7,730.17

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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.