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Finding the Fourth Proportional to 12,967.56, 17,894.94 and 7,931.85

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Solution

The fourth proportional to 12,967.56, 17,894.94 and 7,931.85 is: 10,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.56 : 17,894.94 = 7,931.85 : x
  2. Step 2: Convert to fraction form
    12,967.56/17,894.94 = 7,931.85/x
  3. Step 3: Cross multiply
    12,967.56x = 17,894.94 × 7,931.85
  4. Step 4: Simplify right side
    12,967.56x = 141,939,979.84
  5. Step 5: Solve for x
    x = 141,939,979.84/12,967.56
  6. Step 6: Final answer
    x = 10,945.77

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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.