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Finding the Fourth Proportional to 20,497.34, 30,746.04 and 5,706.27

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Solution

The fourth proportional to 20,497.34, 30,746.04 and 5,706.27 is: 8,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.34 : 30,746.04 = 5,706.27 : x
  2. Step 2: Convert to fraction form
    20,497.34/30,746.04 = 5,706.27/x
  3. Step 3: Cross multiply
    20,497.34x = 30,746.04 × 5,706.27
  4. Step 4: Simplify right side
    20,497.34x = 175,445,205.67
  5. Step 5: Solve for x
    x = 175,445,205.67/20,497.34
  6. Step 6: Final answer
    x = 8,559.42

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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.