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Finding the Fourth Proportional to 19,532.34, 26,954.47 and 11,578.34

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Solution

The fourth proportional to 19,532.34, 26,954.47 and 11,578.34 is: 15,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.34 : 26,954.47 = 11,578.34 : x
  2. Step 2: Convert to fraction form
    19,532.34/26,954.47 = 11,578.34/x
  3. Step 3: Cross multiply
    19,532.34x = 26,954.47 × 11,578.34
  4. Step 4: Simplify right side
    19,532.34x = 312,088,100.04
  5. Step 5: Solve for x
    x = 312,088,100.04/19,532.34
  6. Step 6: Final answer
    x = 15,978.02

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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.