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Finding the Fourth Proportional to 19,706.36, 29,559.80 and 6,558.77

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Solution

The fourth proportional to 19,706.36, 29,559.80 and 6,558.77 is: 9,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.36 : 29,559.80 = 6,558.77 : x
  2. Step 2: Convert to fraction form
    19,706.36/29,559.80 = 6,558.77/x
  3. Step 3: Cross multiply
    19,706.36x = 29,559.80 × 6,558.77
  4. Step 4: Simplify right side
    19,706.36x = 193,876,019.74
  5. Step 5: Solve for x
    x = 193,876,019.74/19,706.36
  6. Step 6: Final answer
    x = 9,838.25

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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.