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Finding the Fourth Proportional to 12,795.54, 19,191 and 5,405.19

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Solution

The fourth proportional to 12,795.54, 19,191 and 5,405.19 is: 8,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.54 : 19,191 = 5,405.19 : x
  2. Step 2: Convert to fraction form
    12,795.54/19,191 = 5,405.19/x
  3. Step 3: Cross multiply
    12,795.54x = 19,191 × 5,405.19
  4. Step 4: Simplify right side
    12,795.54x = 103,731,001.29
  5. Step 5: Solve for x
    x = 103,731,001.29/12,795.54
  6. Step 6: Final answer
    x = 8,106.81

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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.