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Finding the Fourth Proportional to 20,409.96, 28,166.82 and 11,457

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Solution

The fourth proportional to 20,409.96, 28,166.82 and 11,457 is: 15,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.96 : 28,166.82 = 11,457 : x
  2. Step 2: Convert to fraction form
    20,409.96/28,166.82 = 11,457/x
  3. Step 3: Cross multiply
    20,409.96x = 28,166.82 × 11,457
  4. Step 4: Simplify right side
    20,409.96x = 322,707,256.74
  5. Step 5: Solve for x
    x = 322,707,256.74/20,409.96
  6. Step 6: Final answer
    x = 15,811.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.