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Finding the Fourth Proportional to 13,243.80, 19,880.10 and 7,411.80

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Solution

The fourth proportional to 13,243.80, 19,880.10 and 7,411.80 is: 11,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.80 : 19,880.10 = 7,411.80 : x
  2. Step 2: Convert to fraction form
    13,243.80/19,880.10 = 7,411.80/x
  3. Step 3: Cross multiply
    13,243.80x = 19,880.10 × 7,411.80
  4. Step 4: Simplify right side
    13,243.80x = 147,347,325.18
  5. Step 5: Solve for x
    x = 147,347,325.18/13,243.80
  6. Step 6: Final answer
    x = 11,125.76

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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.