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Finding the Fourth Proportional to 12,181.60, 16,810.66 and 6,592.60

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Solution

The fourth proportional to 12,181.60, 16,810.66 and 6,592.60 is: 9,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.60 : 16,810.66 = 6,592.60 : x
  2. Step 2: Convert to fraction form
    12,181.60/16,810.66 = 6,592.60/x
  3. Step 3: Cross multiply
    12,181.60x = 16,810.66 × 6,592.60
  4. Step 4: Simplify right side
    12,181.60x = 110,825,957.12
  5. Step 5: Solve for x
    x = 110,825,957.12/12,181.60
  6. Step 6: Final answer
    x = 9,097.82

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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.