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Finding the Fourth Proportional to 13,202.34, 18,218.70 and 7,900.08

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Solution

The fourth proportional to 13,202.34, 18,218.70 and 7,900.08 is: 10,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.34 : 18,218.70 = 7,900.08 : x
  2. Step 2: Convert to fraction form
    13,202.34/18,218.70 = 7,900.08/x
  3. Step 3: Cross multiply
    13,202.34x = 18,218.70 × 7,900.08
  4. Step 4: Simplify right side
    13,202.34x = 143,929,199.44
  5. Step 5: Solve for x
    x = 143,929,199.44/13,202.34
  6. Step 6: Final answer
    x = 10,901.79

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