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Finding the Fourth Proportional to 12,181.36, 16,810.32 and 6,592.36

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Solution

The fourth proportional to 12,181.36, 16,810.32 and 6,592.36 is: 9,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.36 : 16,810.32 = 6,592.36 : x
  2. Step 2: Convert to fraction form
    12,181.36/16,810.32 = 6,592.36/x
  3. Step 3: Cross multiply
    12,181.36x = 16,810.32 × 6,592.36
  4. Step 4: Simplify right side
    12,181.36x = 110,819,681.16
  5. Step 5: Solve for x
    x = 110,819,681.16/12,181.36
  6. Step 6: Final answer
    x = 9,097.48

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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.