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Finding the Fourth Proportional to 12,843, 17,713.62 and 8,870.76

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Solution

The fourth proportional to 12,843, 17,713.62 and 8,870.76 is: 12,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843 : 17,713.62 = 8,870.76 : x
  2. Step 2: Convert to fraction form
    12,843/17,713.62 = 8,870.76/x
  3. Step 3: Cross multiply
    12,843x = 17,713.62 × 8,870.76
  4. Step 4: Simplify right side
    12,843x = 157,133,271.75
  5. Step 5: Solve for x
    x = 157,133,271.75/12,843
  6. Step 6: Final answer
    x = 12,234.94

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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.