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Finding the Fourth Proportional to 30,397.69, 41,962.49 and 17,823.25

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Solution

The fourth proportional to 30,397.69, 41,962.49 and 17,823.25 is: 24,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.69 : 41,962.49 = 17,823.25 : x
  2. Step 2: Convert to fraction form
    30,397.69/41,962.49 = 17,823.25/x
  3. Step 3: Cross multiply
    30,397.69x = 41,962.49 × 17,823.25
  4. Step 4: Simplify right side
    30,397.69x = 747,907,949.89
  5. Step 5: Solve for x
    x = 747,907,949.89/30,397.69
  6. Step 6: Final answer
    x = 24,604.10

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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.