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Finding the Fourth Proportional to 22,814.84, 34,223.23 and 7,232.12

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Solution

The fourth proportional to 22,814.84, 34,223.23 and 7,232.12 is: 10,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.84 : 34,223.23 = 7,232.12 : x
  2. Step 2: Convert to fraction form
    22,814.84/34,223.23 = 7,232.12/x
  3. Step 3: Cross multiply
    22,814.84x = 34,223.23 × 7,232.12
  4. Step 4: Simplify right side
    22,814.84x = 247,506,506.15
  5. Step 5: Solve for x
    x = 247,506,506.15/22,814.84
  6. Step 6: Final answer
    x = 10,848.49

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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.