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Finding the Fourth Proportional to 20,461.14, 30,693.00 and 6,421.71

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Solution

The fourth proportional to 20,461.14, 30,693.00 and 6,421.71 is: 9,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.14 : 30,693.00 = 6,421.71 : x
  2. Step 2: Convert to fraction form
    20,461.14/30,693.00 = 6,421.71/x
  3. Step 3: Cross multiply
    20,461.14x = 30,693.00 × 6,421.71
  4. Step 4: Simplify right side
    20,461.14x = 197,101,684.21
  5. Step 5: Solve for x
    x = 197,101,684.21/20,461.14
  6. Step 6: Final answer
    x = 9,632.98

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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.