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Finding the Fourth Proportional to 12,181.16, 16,810.26 and 8,405.14

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Solution

The fourth proportional to 12,181.16, 16,810.26 and 8,405.14 is: 11,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.16 : 16,810.26 = 8,405.14 : x
  2. Step 2: Convert to fraction form
    12,181.16/16,810.26 = 8,405.14/x
  3. Step 3: Cross multiply
    12,181.16x = 16,810.26 × 8,405.14
  4. Step 4: Simplify right side
    12,181.16x = 141,292,588.74
  5. Step 5: Solve for x
    x = 141,292,588.74/12,181.16
  6. Step 6: Final answer
    x = 11,599.27

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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.