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Finding the Fourth Proportional to 22,176, 30,608.08 and 14,623.70

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Solution

The fourth proportional to 22,176, 30,608.08 and 14,623.70 is: 20,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176 : 30,608.08 = 14,623.70 : x
  2. Step 2: Convert to fraction form
    22,176/30,608.08 = 14,623.70/x
  3. Step 3: Cross multiply
    22,176x = 30,608.08 × 14,623.70
  4. Step 4: Simplify right side
    22,176x = 447,603,189.90
  5. Step 5: Solve for x
    x = 447,603,189.90/22,176
  6. Step 6: Final answer
    x = 20,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.