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Finding the Fourth Proportional to 12,843, 17,723.54 and 7,254.04

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Solution

The fourth proportional to 12,843, 17,723.54 and 7,254.04 is: 10,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843 : 17,723.54 = 7,254.04 : x
  2. Step 2: Convert to fraction form
    12,843/17,723.54 = 7,254.04/x
  3. Step 3: Cross multiply
    12,843x = 17,723.54 × 7,254.04
  4. Step 4: Simplify right side
    12,843x = 128,567,268.10
  5. Step 5: Solve for x
    x = 128,567,268.10/12,843
  6. Step 6: Final answer
    x = 10,010.69

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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.