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Finding the Fourth Proportional to 12,309.78, 16,994.46 and 8,130.18

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Solution

The fourth proportional to 12,309.78, 16,994.46 and 8,130.18 is: 11,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.78 : 16,994.46 = 8,130.18 : x
  2. Step 2: Convert to fraction form
    12,309.78/16,994.46 = 8,130.18/x
  3. Step 3: Cross multiply
    12,309.78x = 16,994.46 × 8,130.18
  4. Step 4: Simplify right side
    12,309.78x = 138,168,018.80
  5. Step 5: Solve for x
    x = 138,168,018.80/12,309.78
  6. Step 6: Final answer
    x = 11,224.25

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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.