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Finding the Fourth Proportional to 19,231.60, 26,538 and 10,732.96

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Solution

The fourth proportional to 19,231.60, 26,538 and 10,732.96 is: 14,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.60 : 26,538 = 10,732.96 : x
  2. Step 2: Convert to fraction form
    19,231.60/26,538 = 10,732.96/x
  3. Step 3: Cross multiply
    19,231.60x = 26,538 × 10,732.96
  4. Step 4: Simplify right side
    19,231.60x = 284,831,292.48
  5. Step 5: Solve for x
    x = 284,831,292.48/19,231.60
  6. Step 6: Final answer
    x = 14,810.59

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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.