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Finding the Fourth Proportional to 13,243.98, 19,865.75 and 7,002.66

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Solution

The fourth proportional to 13,243.98, 19,865.75 and 7,002.66 is: 10,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.98 : 19,865.75 = 7,002.66 : x
  2. Step 2: Convert to fraction form
    13,243.98/19,865.75 = 7,002.66/x
  3. Step 3: Cross multiply
    13,243.98x = 19,865.75 × 7,002.66
  4. Step 4: Simplify right side
    13,243.98x = 139,113,057.88
  5. Step 5: Solve for x
    x = 139,113,057.88/13,243.98
  6. Step 6: Final answer
    x = 10,503.87

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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.