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Finding the Fourth Proportional to 17,774.90, 26,678.82 and 12,821.48

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Solution

The fourth proportional to 17,774.90, 26,678.82 and 12,821.48 is: 19,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.90 : 26,678.82 = 12,821.48 : x
  2. Step 2: Convert to fraction form
    17,774.90/26,678.82 = 12,821.48/x
  3. Step 3: Cross multiply
    17,774.90x = 26,678.82 × 12,821.48
  4. Step 4: Simplify right side
    17,774.90x = 342,061,957.05
  5. Step 5: Solve for x
    x = 342,061,957.05/17,774.90
  6. Step 6: Final answer
    x = 19,244.10

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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.