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Finding the Fourth Proportional to 19,232, 26,540.80 and 11,778.56

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Solution

The fourth proportional to 19,232, 26,540.80 and 11,778.56 is: 16,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232 : 26,540.80 = 11,778.56 : x
  2. Step 2: Convert to fraction form
    19,232/26,540.80 = 11,778.56/x
  3. Step 3: Cross multiply
    19,232x = 26,540.80 × 11,778.56
  4. Step 4: Simplify right side
    19,232x = 312,612,405.25
  5. Step 5: Solve for x
    x = 312,612,405.25/19,232
  6. Step 6: Final answer
    x = 16,254.80

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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.