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Finding the Fourth Proportional to 12,813.32, 19,220.98 and 4,919.64

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Solution

The fourth proportional to 12,813.32, 19,220.98 and 4,919.64 is: 7,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.32 : 19,220.98 = 4,919.64 : x
  2. Step 2: Convert to fraction form
    12,813.32/19,220.98 = 4,919.64/x
  3. Step 3: Cross multiply
    12,813.32x = 19,220.98 × 4,919.64
  4. Step 4: Simplify right side
    12,813.32x = 94,560,302.05
  5. Step 5: Solve for x
    x = 94,560,302.05/12,813.32
  6. Step 6: Final answer
    x = 7,379.84

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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.