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Finding the Fourth Proportional to 13,166.44, 19,746.78 and 4,958.44

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Solution

The fourth proportional to 13,166.44, 19,746.78 and 4,958.44 is: 7,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.44 : 19,746.78 = 4,958.44 : x
  2. Step 2: Convert to fraction form
    13,166.44/19,746.78 = 4,958.44/x
  3. Step 3: Cross multiply
    13,166.44x = 19,746.78 × 4,958.44
  4. Step 4: Simplify right side
    13,166.44x = 97,913,223.82
  5. Step 5: Solve for x
    x = 97,913,223.82/13,166.44
  6. Step 6: Final answer
    x = 7,436.58

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