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Finding the Fourth Proportional to 20,842.92, 28,762.29 and 11,411.28

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Solution

The fourth proportional to 20,842.92, 28,762.29 and 11,411.28 is: 15,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.92 : 28,762.29 = 11,411.28 : x
  2. Step 2: Convert to fraction form
    20,842.92/28,762.29 = 11,411.28/x
  3. Step 3: Cross multiply
    20,842.92x = 28,762.29 × 11,411.28
  4. Step 4: Simplify right side
    20,842.92x = 328,214,544.63
  5. Step 5: Solve for x
    x = 328,214,544.63/20,842.92
  6. Step 6: Final answer
    x = 15,747.05

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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.