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Finding the Fourth Proportional to 22,706.69, 34,065.81 and 7,124.45

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Solution

The fourth proportional to 22,706.69, 34,065.81 and 7,124.45 is: 10,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.69 : 34,065.81 = 7,124.45 : x
  2. Step 2: Convert to fraction form
    22,706.69/34,065.81 = 7,124.45/x
  3. Step 3: Cross multiply
    22,706.69x = 34,065.81 × 7,124.45
  4. Step 4: Simplify right side
    22,706.69x = 242,700,160.05
  5. Step 5: Solve for x
    x = 242,700,160.05/22,706.69
  6. Step 6: Final answer
    x = 10,688.49

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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.