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Finding the Fourth Proportional to 19,675.62, 29,516.40 and 6,525

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Solution

The fourth proportional to 19,675.62, 29,516.40 and 6,525 is: 9,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.62 : 29,516.40 = 6,525 : x
  2. Step 2: Convert to fraction form
    19,675.62/29,516.40 = 6,525/x
  3. Step 3: Cross multiply
    19,675.62x = 29,516.40 × 6,525
  4. Step 4: Simplify right side
    19,675.62x = 192,594,510
  5. Step 5: Solve for x
    x = 192,594,510/19,675.62
  6. Step 6: Final answer
    x = 9,788.48

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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.