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Finding the Fourth Proportional to 13,166.22, 19,746.42 and 3,804.22

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Solution

The fourth proportional to 13,166.22, 19,746.42 and 3,804.22 is: 5,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.22 : 19,746.42 = 3,804.22 : x
  2. Step 2: Convert to fraction form
    13,166.22/19,746.42 = 3,804.22/x
  3. Step 3: Cross multiply
    13,166.22x = 19,746.42 × 3,804.22
  4. Step 4: Simplify right side
    13,166.22x = 75,119,725.89
  5. Step 5: Solve for x
    x = 75,119,725.89/13,166.22
  6. Step 6: Final answer
    x = 5,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.