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Finding the Fourth Proportional to 20,457.80, 30,686.61 and 5,666.57

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Solution

The fourth proportional to 20,457.80, 30,686.61 and 5,666.57 is: 8,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.80 : 30,686.61 = 5,666.57 : x
  2. Step 2: Convert to fraction form
    20,457.80/30,686.61 = 5,666.57/x
  3. Step 3: Cross multiply
    20,457.80x = 30,686.61 × 5,666.57
  4. Step 4: Simplify right side
    20,457.80x = 173,887,823.63
  5. Step 5: Solve for x
    x = 173,887,823.63/20,457.80
  6. Step 6: Final answer
    x = 8,499.83

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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.