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Finding the Fourth Proportional to 12,119.64, 16,734.51 and 9,462.39

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Solution

The fourth proportional to 12,119.64, 16,734.51 and 9,462.39 is: 13,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.64 : 16,734.51 = 9,462.39 : x
  2. Step 2: Convert to fraction form
    12,119.64/16,734.51 = 9,462.39/x
  3. Step 3: Cross multiply
    12,119.64x = 16,734.51 × 9,462.39
  4. Step 4: Simplify right side
    12,119.64x = 158,348,460.08
  5. Step 5: Solve for x
    x = 158,348,460.08/12,119.64
  6. Step 6: Final answer
    x = 13,065.44

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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.