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Finding the Fourth Proportional to 13,852.80, 19,097.10 and 8,544.06

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Solution

The fourth proportional to 13,852.80, 19,097.10 and 8,544.06 is: 11,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.80 : 19,097.10 = 8,544.06 : x
  2. Step 2: Convert to fraction form
    13,852.80/19,097.10 = 8,544.06/x
  3. Step 3: Cross multiply
    13,852.80x = 19,097.10 × 8,544.06
  4. Step 4: Simplify right side
    13,852.80x = 163,166,768.23
  5. Step 5: Solve for x
    x = 163,166,768.23/13,852.80
  6. Step 6: Final answer
    x = 11,778.61

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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.