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Finding the Fourth Proportional to 12,931.41, 17,846.97 and 7,894.56

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Solution

The fourth proportional to 12,931.41, 17,846.97 and 7,894.56 is: 10,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.41 : 17,846.97 = 7,894.56 : x
  2. Step 2: Convert to fraction form
    12,931.41/17,846.97 = 7,894.56/x
  3. Step 3: Cross multiply
    12,931.41x = 17,846.97 × 7,894.56
  4. Step 4: Simplify right side
    12,931.41x = 140,893,975.48
  5. Step 5: Solve for x
    x = 140,893,975.48/12,931.41
  6. Step 6: Final answer
    x = 10,895.48

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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.