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Finding the Fourth Proportional to 11,649.54, 17,444.50 and 7,688.82

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Solution

The fourth proportional to 11,649.54, 17,444.50 and 7,688.82 is: 11,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.54 : 17,444.50 = 7,688.82 : x
  2. Step 2: Convert to fraction form
    11,649.54/17,444.50 = 7,688.82/x
  3. Step 3: Cross multiply
    11,649.54x = 17,444.50 × 7,688.82
  4. Step 4: Simplify right side
    11,649.54x = 134,127,620.49
  5. Step 5: Solve for x
    x = 134,127,620.49/11,649.54
  6. Step 6: Final answer
    x = 11,513.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.