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Finding the Fourth Proportional to 17,314.14, 23,902.19 and 13,477.32

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Solution

The fourth proportional to 17,314.14, 23,902.19 and 13,477.32 is: 18,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.14 : 23,902.19 = 13,477.32 : x
  2. Step 2: Convert to fraction form
    17,314.14/23,902.19 = 13,477.32/x
  3. Step 3: Cross multiply
    17,314.14x = 23,902.19 × 13,477.32
  4. Step 4: Simplify right side
    17,314.14x = 322,137,395.94
  5. Step 5: Solve for x
    x = 322,137,395.94/17,314.14
  6. Step 6: Final answer
    x = 18,605.45

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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.