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Finding the Fourth Proportional to 19,562.48, 26,995.50 and 11,600

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Solution

The fourth proportional to 19,562.48, 26,995.50 and 11,600 is: 16,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.48 : 26,995.50 = 11,600 : x
  2. Step 2: Convert to fraction form
    19,562.48/26,995.50 = 11,600/x
  3. Step 3: Cross multiply
    19,562.48x = 26,995.50 × 11,600
  4. Step 4: Simplify right side
    19,562.48x = 313,147,800
  5. Step 5: Solve for x
    x = 313,147,800/19,562.48
  6. Step 6: Final answer
    x = 16,007.57

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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.