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Finding the Fourth Proportional to 22,803, 34,204.18 and 7,220.62

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Solution

The fourth proportional to 22,803, 34,204.18 and 7,220.62 is: 10,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803 : 34,204.18 = 7,220.62 : x
  2. Step 2: Convert to fraction form
    22,803/34,204.18 = 7,220.62/x
  3. Step 3: Cross multiply
    22,803x = 34,204.18 × 7,220.62
  4. Step 4: Simplify right side
    22,803x = 246,975,386.19
  5. Step 5: Solve for x
    x = 246,975,386.19/22,803
  6. Step 6: Final answer
    x = 10,830.83

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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.