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Finding the Fourth Proportional to 13,000.49, 19,544.24 and 10,260.19

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Solution

The fourth proportional to 13,000.49, 19,544.24 and 10,260.19 is: 15,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.49 : 19,544.24 = 10,260.19 : x
  2. Step 2: Convert to fraction form
    13,000.49/19,544.24 = 10,260.19/x
  3. Step 3: Cross multiply
    13,000.49x = 19,544.24 × 10,260.19
  4. Step 4: Simplify right side
    13,000.49x = 200,527,615.81
  5. Step 5: Solve for x
    x = 200,527,615.81/13,000.49
  6. Step 6: Final answer
    x = 15,424.62

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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.