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Finding the Fourth Proportional to 13,202.52, 18,219.48 and 7,897.35

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Solution

The fourth proportional to 13,202.52, 18,219.48 and 7,897.35 is: 10,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.52 : 18,219.48 = 7,897.35 : x
  2. Step 2: Convert to fraction form
    13,202.52/18,219.48 = 7,897.35/x
  3. Step 3: Cross multiply
    13,202.52x = 18,219.48 × 7,897.35
  4. Step 4: Simplify right side
    13,202.52x = 143,885,610.38
  5. Step 5: Solve for x
    x = 143,885,610.38/13,202.52
  6. Step 6: Final answer
    x = 10,898.34

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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.