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Finding the Fourth Proportional to 19,853.77, 29,778.80 and 6,706.25

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Solution

The fourth proportional to 19,853.77, 29,778.80 and 6,706.25 is: 10,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.77 : 29,778.80 = 6,706.25 : x
  2. Step 2: Convert to fraction form
    19,853.77/29,778.80 = 6,706.25/x
  3. Step 3: Cross multiply
    19,853.77x = 29,778.80 × 6,706.25
  4. Step 4: Simplify right side
    19,853.77x = 199,704,168.71
  5. Step 5: Solve for x
    x = 199,704,168.71/19,853.77
  6. Step 6: Final answer
    x = 10,058.75

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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.