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Finding the Fourth Proportional to 11,597.90, 17,396.76 and 4,202.34

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Solution

The fourth proportional to 11,597.90, 17,396.76 and 4,202.34 is: 6,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.90 : 17,396.76 = 4,202.34 : x
  2. Step 2: Convert to fraction form
    11,597.90/17,396.76 = 4,202.34/x
  3. Step 3: Cross multiply
    11,597.90x = 17,396.76 × 4,202.34
  4. Step 4: Simplify right side
    11,597.90x = 73,107,100.42
  5. Step 5: Solve for x
    x = 73,107,100.42/11,597.90
  6. Step 6: Final answer
    x = 6,303.48

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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.