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Finding the Fourth Proportional to 12,697.37, 19,051.06 and 9,191.78

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Solution

The fourth proportional to 12,697.37, 19,051.06 and 9,191.78 is: 13,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.37 : 19,051.06 = 9,191.78 : x
  2. Step 2: Convert to fraction form
    12,697.37/19,051.06 = 9,191.78/x
  3. Step 3: Cross multiply
    12,697.37x = 19,051.06 × 9,191.78
  4. Step 4: Simplify right side
    12,697.37x = 175,113,176.93
  5. Step 5: Solve for x
    x = 175,113,176.93/12,697.37
  6. Step 6: Final answer
    x = 13,791.30

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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.