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Finding the Fourth Proportional to 23,564.82, 32,489.11 and 19,300.17

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Solution

The fourth proportional to 23,564.82, 32,489.11 and 19,300.17 is: 26,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.82 : 32,489.11 = 19,300.17 : x
  2. Step 2: Convert to fraction form
    23,564.82/32,489.11 = 19,300.17/x
  3. Step 3: Cross multiply
    23,564.82x = 32,489.11 × 19,300.17
  4. Step 4: Simplify right side
    23,564.82x = 627,045,346.15
  5. Step 5: Solve for x
    x = 627,045,346.15/23,564.82
  6. Step 6: Final answer
    x = 26,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.