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Finding the Fourth Proportional to 22,465.67, 33,701.49 and 7,670.61

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Solution

The fourth proportional to 22,465.67, 33,701.49 and 7,670.61 is: 11,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.67 : 33,701.49 = 7,670.61 : x
  2. Step 2: Convert to fraction form
    22,465.67/33,701.49 = 7,670.61/x
  3. Step 3: Cross multiply
    22,465.67x = 33,701.49 × 7,670.61
  4. Step 4: Simplify right side
    22,465.67x = 258,510,986.21
  5. Step 5: Solve for x
    x = 258,510,986.21/22,465.67
  6. Step 6: Final answer
    x = 11,506.94

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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.