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Finding the Fourth Proportional to 12,094.18, 16,693.44 and 7,314.13

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Solution

The fourth proportional to 12,094.18, 16,693.44 and 7,314.13 is: 10,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.18 : 16,693.44 = 7,314.13 : x
  2. Step 2: Convert to fraction form
    12,094.18/16,693.44 = 7,314.13/x
  3. Step 3: Cross multiply
    12,094.18x = 16,693.44 × 7,314.13
  4. Step 4: Simplify right side
    12,094.18x = 122,097,906.84
  5. Step 5: Solve for x
    x = 122,097,906.84/12,094.18
  6. Step 6: Final answer
    x = 10,095.60

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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.