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Finding the Fourth Proportional to 19,536.96, 26,961 and 10,584.48

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Solution

The fourth proportional to 19,536.96, 26,961 and 10,584.48 is: 14,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.96 : 26,961 = 10,584.48 : x
  2. Step 2: Convert to fraction form
    19,536.96/26,961 = 10,584.48/x
  3. Step 3: Cross multiply
    19,536.96x = 26,961 × 10,584.48
  4. Step 4: Simplify right side
    19,536.96x = 285,368,165.28
  5. Step 5: Solve for x
    x = 285,368,165.28/19,536.96
  6. Step 6: Final answer
    x = 14,606.58

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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.