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Finding the Fourth Proportional to 20,564.98, 30,852.10 and 6,525.86

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Solution

The fourth proportional to 20,564.98, 30,852.10 and 6,525.86 is: 9,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.98 : 30,852.10 = 6,525.86 : x
  2. Step 2: Convert to fraction form
    20,564.98/30,852.10 = 6,525.86/x
  3. Step 3: Cross multiply
    20,564.98x = 30,852.10 × 6,525.86
  4. Step 4: Simplify right side
    20,564.98x = 201,336,485.31
  5. Step 5: Solve for x
    x = 201,336,485.31/20,564.98
  6. Step 6: Final answer
    x = 9,790.26

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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.