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Finding the Fourth Proportional to 12,181.26, 16,810.17 and 6,592.26

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Solution

The fourth proportional to 12,181.26, 16,810.17 and 6,592.26 is: 9,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.26 : 16,810.17 = 6,592.26 : x
  2. Step 2: Convert to fraction form
    12,181.26/16,810.17 = 6,592.26/x
  3. Step 3: Cross multiply
    12,181.26x = 16,810.17 × 6,592.26
  4. Step 4: Simplify right side
    12,181.26x = 110,817,011.28
  5. Step 5: Solve for x
    x = 110,817,011.28/12,181.26
  6. Step 6: Final answer
    x = 9,097.34

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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.