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Finding the Fourth Proportional to 20,842.26, 28,762.32 and 11,410.82

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Solution

The fourth proportional to 20,842.26, 28,762.32 and 11,410.82 is: 15,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.26 : 28,762.32 = 11,410.82 : x
  2. Step 2: Convert to fraction form
    20,842.26/28,762.32 = 11,410.82/x
  3. Step 3: Cross multiply
    20,842.26x = 28,762.32 × 11,410.82
  4. Step 4: Simplify right side
    20,842.26x = 328,201,656.30
  5. Step 5: Solve for x
    x = 328,201,656.30/20,842.26
  6. Step 6: Final answer
    x = 15,746.93

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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.