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Finding the Fourth Proportional to 17,564.80, 26,282.40 and 16,009.60

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Solution

The fourth proportional to 17,564.80, 26,282.40 and 16,009.60 is: 23,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.80 : 26,282.40 = 16,009.60 : x
  2. Step 2: Convert to fraction form
    17,564.80/26,282.40 = 16,009.60/x
  3. Step 3: Cross multiply
    17,564.80x = 26,282.40 × 16,009.60
  4. Step 4: Simplify right side
    17,564.80x = 420,770,711.04
  5. Step 5: Solve for x
    x = 420,770,711.04/17,564.80
  6. Step 6: Final answer
    x = 23,955.34

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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.