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Finding the Fourth Proportional to 20,575.89, 30,870.72 and 6,538.32

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Solution

The fourth proportional to 20,575.89, 30,870.72 and 6,538.32 is: 9,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.89 : 30,870.72 = 6,538.32 : x
  2. Step 2: Convert to fraction form
    20,575.89/30,870.72 = 6,538.32/x
  3. Step 3: Cross multiply
    20,575.89x = 30,870.72 × 6,538.32
  4. Step 4: Simplify right side
    20,575.89x = 201,842,645.99
  5. Step 5: Solve for x
    x = 201,842,645.99/20,575.89
  6. Step 6: Final answer
    x = 9,809.67

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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.