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Finding the Fourth Proportional to 12,674.86, 19,002.03 and 5,284.84

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Solution

The fourth proportional to 12,674.86, 19,002.03 and 5,284.84 is: 7,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.86 : 19,002.03 = 5,284.84 : x
  2. Step 2: Convert to fraction form
    12,674.86/19,002.03 = 5,284.84/x
  3. Step 3: Cross multiply
    12,674.86x = 19,002.03 × 5,284.84
  4. Step 4: Simplify right side
    12,674.86x = 100,422,688.23
  5. Step 5: Solve for x
    x = 100,422,688.23/12,674.86
  6. Step 6: Final answer
    x = 7,922.98

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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.