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Finding the Fourth Proportional to 13,201.24, 19,802.46 and 7,353.44

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Solution

The fourth proportional to 13,201.24, 19,802.46 and 7,353.44 is: 11,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.24 : 19,802.46 = 7,353.44 : x
  2. Step 2: Convert to fraction form
    13,201.24/19,802.46 = 7,353.44/x
  3. Step 3: Cross multiply
    13,201.24x = 19,802.46 × 7,353.44
  4. Step 4: Simplify right side
    13,201.24x = 145,616,201.46
  5. Step 5: Solve for x
    x = 145,616,201.46/13,201.24
  6. Step 6: Final answer
    x = 11,030.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.