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Finding the Fourth Proportional to 17,013.50, 23,478.56 and 9,459.60

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Solution

The fourth proportional to 17,013.50, 23,478.56 and 9,459.60 is: 13,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.50 : 23,478.56 = 9,459.60 : x
  2. Step 2: Convert to fraction form
    17,013.50/23,478.56 = 9,459.60/x
  3. Step 3: Cross multiply
    17,013.50x = 23,478.56 × 9,459.60
  4. Step 4: Simplify right side
    17,013.50x = 222,097,786.18
  5. Step 5: Solve for x
    x = 222,097,786.18/17,013.50
  6. Step 6: Final answer
    x = 13,054.21

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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.