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Finding the Fourth Proportional to 13,746.54, 18,970.22 and 7,778.09

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Solution

The fourth proportional to 13,746.54, 18,970.22 and 7,778.09 is: 10,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.54 : 18,970.22 = 7,778.09 : x
  2. Step 2: Convert to fraction form
    13,746.54/18,970.22 = 7,778.09/x
  3. Step 3: Cross multiply
    13,746.54x = 18,970.22 × 7,778.09
  4. Step 4: Simplify right side
    13,746.54x = 147,552,003.07
  5. Step 5: Solve for x
    x = 147,552,003.07/13,746.54
  6. Step 6: Final answer
    x = 10,733.76

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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.