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Finding the Fourth Proportional to 12,004.71, 17,994.75 and 4,607.18

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Solution

The fourth proportional to 12,004.71, 17,994.75 and 4,607.18 is: 6,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.71 : 17,994.75 = 4,607.18 : x
  2. Step 2: Convert to fraction form
    12,004.71/17,994.75 = 4,607.18/x
  3. Step 3: Cross multiply
    12,004.71x = 17,994.75 × 4,607.18
  4. Step 4: Simplify right side
    12,004.71x = 82,905,052.31
  5. Step 5: Solve for x
    x = 82,905,052.31/12,004.71
  6. Step 6: Final answer
    x = 6,906.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.