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Finding the Fourth Proportional to 20,307.56, 30,466.14 and 6,456.56

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Solution

The fourth proportional to 20,307.56, 30,466.14 and 6,456.56 is: 9,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.56 : 30,466.14 = 6,456.56 : x
  2. Step 2: Convert to fraction form
    20,307.56/30,466.14 = 6,456.56/x
  3. Step 3: Cross multiply
    20,307.56x = 30,466.14 × 6,456.56
  4. Step 4: Simplify right side
    20,307.56x = 196,706,460.88
  5. Step 5: Solve for x
    x = 196,706,460.88/20,307.56
  6. Step 6: Final answer
    x = 9,686.37

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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.