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Finding the Fourth Proportional to 13,241.98, 19,862.74 and 7,000.66

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Solution

The fourth proportional to 13,241.98, 19,862.74 and 7,000.66 is: 10,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.98 : 19,862.74 = 7,000.66 : x
  2. Step 2: Convert to fraction form
    13,241.98/19,862.74 = 7,000.66/x
  3. Step 3: Cross multiply
    13,241.98x = 19,862.74 × 7,000.66
  4. Step 4: Simplify right side
    13,241.98x = 139,052,289.41
  5. Step 5: Solve for x
    x = 139,052,289.41/13,241.98
  6. Step 6: Final answer
    x = 10,500.87

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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.