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Finding the Fourth Proportional to 20,842.10, 28,762.10 and 11,410.67

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Solution

The fourth proportional to 20,842.10, 28,762.10 and 11,410.67 is: 15,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.10 : 28,762.10 = 11,410.67 : x
  2. Step 2: Convert to fraction form
    20,842.10/28,762.10 = 11,410.67/x
  3. Step 3: Cross multiply
    20,842.10x = 28,762.10 × 11,410.67
  4. Step 4: Simplify right side
    20,842.10x = 328,194,791.65
  5. Step 5: Solve for x
    x = 328,194,791.65/20,842.10
  6. Step 6: Final answer
    x = 15,746.72

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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.