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Finding the Fourth Proportional to 13,011.41, 17,956.19 and 7,974.66

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Solution

The fourth proportional to 13,011.41, 17,956.19 and 7,974.66 is: 11,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.41 : 17,956.19 = 7,974.66 : x
  2. Step 2: Convert to fraction form
    13,011.41/17,956.19 = 7,974.66/x
  3. Step 3: Cross multiply
    13,011.41x = 17,956.19 × 7,974.66
  4. Step 4: Simplify right side
    13,011.41x = 143,194,510.15
  5. Step 5: Solve for x
    x = 143,194,510.15/13,011.41
  6. Step 6: Final answer
    x = 11,005.30

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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.