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Finding the Fourth Proportional to 19,096.56, 28,654.56 and 8,706.96

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Solution

The fourth proportional to 19,096.56, 28,654.56 and 8,706.96 is: 13,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.56 : 28,654.56 = 8,706.96 : x
  2. Step 2: Convert to fraction form
    19,096.56/28,654.56 = 8,706.96/x
  3. Step 3: Cross multiply
    19,096.56x = 28,654.56 × 8,706.96
  4. Step 4: Simplify right side
    19,096.56x = 249,494,107.74
  5. Step 5: Solve for x
    x = 249,494,107.74/19,096.56
  6. Step 6: Final answer
    x = 13,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.