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Finding the Fourth Proportional to 20,971.68, 31,457.30 and 8,488.32

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Solution

The fourth proportional to 20,971.68, 31,457.30 and 8,488.32 is: 12,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.68 : 31,457.30 = 8,488.32 : x
  2. Step 2: Convert to fraction form
    20,971.68/31,457.30 = 8,488.32/x
  3. Step 3: Cross multiply
    20,971.68x = 31,457.30 × 8,488.32
  4. Step 4: Simplify right side
    20,971.68x = 267,019,628.74
  5. Step 5: Solve for x
    x = 267,019,628.74/20,971.68
  6. Step 6: Final answer
    x = 12,732.39

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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.