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Finding the Fourth Proportional to 20,570.21, 30,814.21 and 9,461.67

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Solution

The fourth proportional to 20,570.21, 30,814.21 and 9,461.67 is: 14,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.21 : 30,814.21 = 9,461.67 : x
  2. Step 2: Convert to fraction form
    20,570.21/30,814.21 = 9,461.67/x
  3. Step 3: Cross multiply
    20,570.21x = 30,814.21 × 9,461.67
  4. Step 4: Simplify right side
    20,570.21x = 291,553,886.33
  5. Step 5: Solve for x
    x = 291,553,886.33/20,570.21
  6. Step 6: Final answer
    x = 14,173.60

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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.