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Finding the Fourth Proportional to 20,457.60, 30,685.68 and 5,668.08

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Solution

The fourth proportional to 20,457.60, 30,685.68 and 5,668.08 is: 8,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.60 : 30,685.68 = 5,668.08 : x
  2. Step 2: Convert to fraction form
    20,457.60/30,685.68 = 5,668.08/x
  3. Step 3: Cross multiply
    20,457.60x = 30,685.68 × 5,668.08
  4. Step 4: Simplify right side
    20,457.60x = 173,928,889.09
  5. Step 5: Solve for x
    x = 173,928,889.09/20,457.60
  6. Step 6: Final answer
    x = 8,501.92

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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.