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Finding the Fourth Proportional to 30,302.16, 41,814 and 16,872.90

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Solution

The fourth proportional to 30,302.16, 41,814 and 16,872.90 is: 23,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.16 : 41,814 = 16,872.90 : x
  2. Step 2: Convert to fraction form
    30,302.16/41,814 = 16,872.90/x
  3. Step 3: Cross multiply
    30,302.16x = 41,814 × 16,872.90
  4. Step 4: Simplify right side
    30,302.16x = 705,523,440.60
  5. Step 5: Solve for x
    x = 705,523,440.60/30,302.16
  6. Step 6: Final answer
    x = 23,282.94

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