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Finding the Fourth Proportional to 12,994.12, 17,932.08 and 7,405

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Solution

The fourth proportional to 12,994.12, 17,932.08 and 7,405 is: 10,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.12 : 17,932.08 = 7,405 : x
  2. Step 2: Convert to fraction form
    12,994.12/17,932.08 = 7,405/x
  3. Step 3: Cross multiply
    12,994.12x = 17,932.08 × 7,405
  4. Step 4: Simplify right side
    12,994.12x = 132,787,052.40
  5. Step 5: Solve for x
    x = 132,787,052.40/12,994.12
  6. Step 6: Final answer
    x = 10,219.01

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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.