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Finding the Fourth Proportional to 12,594.86, 18,884.54 and 4,274.24

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Solution

The fourth proportional to 12,594.86, 18,884.54 and 4,274.24 is: 6,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.86 : 18,884.54 = 4,274.24 : x
  2. Step 2: Convert to fraction form
    12,594.86/18,884.54 = 4,274.24/x
  3. Step 3: Cross multiply
    12,594.86x = 18,884.54 × 4,274.24
  4. Step 4: Simplify right side
    12,594.86x = 80,716,972.51
  5. Step 5: Solve for x
    x = 80,716,972.51/12,594.86
  6. Step 6: Final answer
    x = 6,408.72

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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.