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Finding the Fourth Proportional to 12,801.69, 19,189.33 and 4,902.34

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Solution

The fourth proportional to 12,801.69, 19,189.33 and 4,902.34 is: 7,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.69 : 19,189.33 = 4,902.34 : x
  2. Step 2: Convert to fraction form
    12,801.69/19,189.33 = 4,902.34/x
  3. Step 3: Cross multiply
    12,801.69x = 19,189.33 × 4,902.34
  4. Step 4: Simplify right side
    12,801.69x = 94,072,620.03
  5. Step 5: Solve for x
    x = 94,072,620.03/12,801.69
  6. Step 6: Final answer
    x = 7,348.45

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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.