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Finding the Fourth Proportional to 12,813.56, 19,228.89 and 4,493.57

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Solution

The fourth proportional to 12,813.56, 19,228.89 and 4,493.57 is: 6,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.56 : 19,228.89 = 4,493.57 : x
  2. Step 2: Convert to fraction form
    12,813.56/19,228.89 = 4,493.57/x
  3. Step 3: Cross multiply
    12,813.56x = 19,228.89 × 4,493.57
  4. Step 4: Simplify right side
    12,813.56x = 86,406,363.24
  5. Step 5: Solve for x
    x = 86,406,363.24/12,813.56
  6. Step 6: Final answer
    x = 6,743.35

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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.