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Finding the Fourth Proportional to 12,853.98, 19,280.97 and 6,709.98

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Solution

The fourth proportional to 12,853.98, 19,280.97 and 6,709.98 is: 10,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.98 : 19,280.97 = 6,709.98 : x
  2. Step 2: Convert to fraction form
    12,853.98/19,280.97 = 6,709.98/x
  3. Step 3: Cross multiply
    12,853.98x = 19,280.97 × 6,709.98
  4. Step 4: Simplify right side
    12,853.98x = 129,374,923.08
  5. Step 5: Solve for x
    x = 129,374,923.08/12,853.98
  6. Step 6: Final answer
    x = 10,064.97

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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.