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Finding the Fourth Proportional to 13,509.69, 20,223.01 and 11,516.78

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Solution

The fourth proportional to 13,509.69, 20,223.01 and 11,516.78 is: 17,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.69 : 20,223.01 = 11,516.78 : x
  2. Step 2: Convert to fraction form
    13,509.69/20,223.01 = 11,516.78/x
  3. Step 3: Cross multiply
    13,509.69x = 20,223.01 × 11,516.78
  4. Step 4: Simplify right side
    13,509.69x = 232,903,957.28
  5. Step 5: Solve for x
    x = 232,903,957.28/13,509.69
  6. Step 6: Final answer
    x = 17,239.78

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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.