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Finding the Fourth Proportional to 13,000, 17,940.24 and 9,280.48

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Solution

The fourth proportional to 13,000, 17,940.24 and 9,280.48 is: 12,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 17,940.24 = 9,280.48 : x
  2. Step 2: Convert to fraction form
    13,000/17,940.24 = 9,280.48/x
  3. Step 3: Cross multiply
    13,000x = 17,940.24 × 9,280.48
  4. Step 4: Simplify right side
    13,000x = 166,494,038.52
  5. Step 5: Solve for x
    x = 166,494,038.52/13,000
  6. Step 6: Final answer
    x = 12,807.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.