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Finding the Fourth Proportional to 27,564.40, 41,346.60 and 17,722.90

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Solution

The fourth proportional to 27,564.40, 41,346.60 and 17,722.90 is: 26,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.40 : 41,346.60 = 17,722.90 : x
  2. Step 2: Convert to fraction form
    27,564.40/41,346.60 = 17,722.90/x
  3. Step 3: Cross multiply
    27,564.40x = 41,346.60 × 17,722.90
  4. Step 4: Simplify right side
    27,564.40x = 732,781,657.14
  5. Step 5: Solve for x
    x = 732,781,657.14/27,564.40
  6. Step 6: Final answer
    x = 26,584.35

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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.