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Finding the Fourth Proportional to 19,675.19, 29,506.41 and 6,524.03

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Solution

The fourth proportional to 19,675.19, 29,506.41 and 6,524.03 is: 9,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.19 : 29,506.41 = 6,524.03 : x
  2. Step 2: Convert to fraction form
    19,675.19/29,506.41 = 6,524.03/x
  3. Step 3: Cross multiply
    19,675.19x = 29,506.41 × 6,524.03
  4. Step 4: Simplify right side
    19,675.19x = 192,500,704.03
  5. Step 5: Solve for x
    x = 192,500,704.03/19,675.19
  6. Step 6: Final answer
    x = 9,783.93

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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.