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Finding the Fourth Proportional to 19,142.25, 26,414.40 and 11,970.78

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Solution

The fourth proportional to 19,142.25, 26,414.40 and 11,970.78 is: 16,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.25 : 26,414.40 = 11,970.78 : x
  2. Step 2: Convert to fraction form
    19,142.25/26,414.40 = 11,970.78/x
  3. Step 3: Cross multiply
    19,142.25x = 26,414.40 × 11,970.78
  4. Step 4: Simplify right side
    19,142.25x = 316,200,839.16
  5. Step 5: Solve for x
    x = 316,200,839.16/19,142.25
  6. Step 6: Final answer
    x = 16,518.48

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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.