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Finding the Fourth Proportional to 12,936, 19,406.34 and 8,557.08

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Solution

The fourth proportional to 12,936, 19,406.34 and 8,557.08 is: 12,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,936 : 19,406.34 = 8,557.08 : x
  2. Step 2: Convert to fraction form
    12,936/19,406.34 = 8,557.08/x
  3. Step 3: Cross multiply
    12,936x = 19,406.34 × 8,557.08
  4. Step 4: Simplify right side
    12,936x = 166,061,603.89
  5. Step 5: Solve for x
    x = 166,061,603.89/12,936
  6. Step 6: Final answer
    x = 12,837.17

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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.