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Finding the Fourth Proportional to 12,664.64, 18,994.24 and 4,872

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Solution

The fourth proportional to 12,664.64, 18,994.24 and 4,872 is: 7,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.64 : 18,994.24 = 4,872 : x
  2. Step 2: Convert to fraction form
    12,664.64/18,994.24 = 4,872/x
  3. Step 3: Cross multiply
    12,664.64x = 18,994.24 × 4,872
  4. Step 4: Simplify right side
    12,664.64x = 92,539,937.28
  5. Step 5: Solve for x
    x = 92,539,937.28/12,664.64
  6. Step 6: Final answer
    x = 7,306.95

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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.