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Finding the Fourth Proportional to 12,902.45, 19,356.90 and 3,668.45

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Solution

The fourth proportional to 12,902.45, 19,356.90 and 3,668.45 is: 5,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.45 : 19,356.90 = 3,668.45 : x
  2. Step 2: Convert to fraction form
    12,902.45/19,356.90 = 3,668.45/x
  3. Step 3: Cross multiply
    12,902.45x = 19,356.90 × 3,668.45
  4. Step 4: Simplify right side
    12,902.45x = 71,009,723.02
  5. Step 5: Solve for x
    x = 71,009,723.02/12,902.45
  6. Step 6: Final answer
    x = 5,503.59

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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.