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Finding the Fourth Proportional to 19,982.35, 29,962.49 and 12,570.95

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Solution

The fourth proportional to 19,982.35, 29,962.49 and 12,570.95 is: 18,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.35 : 29,962.49 = 12,570.95 : x
  2. Step 2: Convert to fraction form
    19,982.35/29,962.49 = 12,570.95/x
  3. Step 3: Cross multiply
    19,982.35x = 29,962.49 × 12,570.95
  4. Step 4: Simplify right side
    19,982.35x = 376,656,963.67
  5. Step 5: Solve for x
    x = 376,656,963.67/19,982.35
  6. Step 6: Final answer
    x = 18,849.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.