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Finding the Fourth Proportional to 16,842.51, 23,242.34 and 9,185.87

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Solution

The fourth proportional to 16,842.51, 23,242.34 and 9,185.87 is: 12,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.51 : 23,242.34 = 9,185.87 : x
  2. Step 2: Convert to fraction form
    16,842.51/23,242.34 = 9,185.87/x
  3. Step 3: Cross multiply
    16,842.51x = 23,242.34 × 9,185.87
  4. Step 4: Simplify right side
    16,842.51x = 213,501,194.81
  5. Step 5: Solve for x
    x = 213,501,194.81/16,842.51
  6. Step 6: Final answer
    x = 12,676.33

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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.