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Finding the Fourth Proportional to 17,477.25, 24,114.42 and 10,208.22

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Solution

The fourth proportional to 17,477.25, 24,114.42 and 10,208.22 is: 14,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.25 : 24,114.42 = 10,208.22 : x
  2. Step 2: Convert to fraction form
    17,477.25/24,114.42 = 10,208.22/x
  3. Step 3: Cross multiply
    17,477.25x = 24,114.42 × 10,208.22
  4. Step 4: Simplify right side
    17,477.25x = 246,165,304.53
  5. Step 5: Solve for x
    x = 246,165,304.53/17,477.25
  6. Step 6: Final answer
    x = 14,084.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.