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Finding the Fourth Proportional to 20,308.60, 30,462.10 and 6,457.08

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Solution

The fourth proportional to 20,308.60, 30,462.10 and 6,457.08 is: 9,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.60 : 30,462.10 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    20,308.60/30,462.10 = 6,457.08/x
  3. Step 3: Cross multiply
    20,308.60x = 30,462.10 × 6,457.08
  4. Step 4: Simplify right side
    20,308.60x = 196,696,216.67
  5. Step 5: Solve for x
    x = 196,696,216.67/20,308.60
  6. Step 6: Final answer
    x = 9,685.37

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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.