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Finding the Fourth Proportional to 20,597.63, 30,878.11 and 7,447.07

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Solution

The fourth proportional to 20,597.63, 30,878.11 and 7,447.07 is: 11,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.63 : 30,878.11 = 7,447.07 : x
  2. Step 2: Convert to fraction form
    20,597.63/30,878.11 = 7,447.07/x
  3. Step 3: Cross multiply
    20,597.63x = 30,878.11 × 7,447.07
  4. Step 4: Simplify right side
    20,597.63x = 229,951,533.14
  5. Step 5: Solve for x
    x = 229,951,533.14/20,597.63
  6. Step 6: Final answer
    x = 11,163.98

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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.