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Finding the Fourth Proportional to 12,843.64, 17,699.34 and 9,111.16

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Solution

The fourth proportional to 12,843.64, 17,699.34 and 9,111.16 is: 12,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.64 : 17,699.34 = 9,111.16 : x
  2. Step 2: Convert to fraction form
    12,843.64/17,699.34 = 9,111.16/x
  3. Step 3: Cross multiply
    12,843.64x = 17,699.34 × 9,111.16
  4. Step 4: Simplify right side
    12,843.64x = 161,261,518.63
  5. Step 5: Solve for x
    x = 161,261,518.63/12,843.64
  6. Step 6: Final answer
    x = 12,555.75

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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.