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Finding the Fourth Proportional to 13,644.54, 20,439.72 and 10,513.69

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Solution

The fourth proportional to 13,644.54, 20,439.72 and 10,513.69 is: 15,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.54 : 20,439.72 = 10,513.69 : x
  2. Step 2: Convert to fraction form
    13,644.54/20,439.72 = 10,513.69/x
  3. Step 3: Cross multiply
    13,644.54x = 20,439.72 × 10,513.69
  4. Step 4: Simplify right side
    13,644.54x = 214,896,828.67
  5. Step 5: Solve for x
    x = 214,896,828.67/13,644.54
  6. Step 6: Final answer
    x = 15,749.66

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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.