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Finding the Fourth Proportional to 22,453, 33,684.36 and 8,602

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Solution

The fourth proportional to 22,453, 33,684.36 and 8,602 is: 12,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453 : 33,684.36 = 8,602 : x
  2. Step 2: Convert to fraction form
    22,453/33,684.36 = 8,602/x
  3. Step 3: Cross multiply
    22,453x = 33,684.36 × 8,602
  4. Step 4: Simplify right side
    22,453x = 289,752,864.72
  5. Step 5: Solve for x
    x = 289,752,864.72/22,453
  6. Step 6: Final answer
    x = 12,904.86

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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.