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Finding the Fourth Proportional to 22,338, 30,828.01 and 14,771.18

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Solution

The fourth proportional to 22,338, 30,828.01 and 14,771.18 is: 20,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338 : 30,828.01 = 14,771.18 : x
  2. Step 2: Convert to fraction form
    22,338/30,828.01 = 14,771.18/x
  3. Step 3: Cross multiply
    22,338x = 30,828.01 × 14,771.18
  4. Step 4: Simplify right side
    22,338x = 455,366,084.75
  5. Step 5: Solve for x
    x = 455,366,084.75/22,338
  6. Step 6: Final answer
    x = 20,385.27

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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.