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Finding the Fourth Proportional to 17,282.53, 23,852.16 and 9,730.33

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Solution

The fourth proportional to 17,282.53, 23,852.16 and 9,730.33 is: 13,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.53 : 23,852.16 = 9,730.33 : x
  2. Step 2: Convert to fraction form
    17,282.53/23,852.16 = 9,730.33/x
  3. Step 3: Cross multiply
    17,282.53x = 23,852.16 × 9,730.33
  4. Step 4: Simplify right side
    17,282.53x = 232,089,388.01
  5. Step 5: Solve for x
    x = 232,089,388.01/17,282.53
  6. Step 6: Final answer
    x = 13,429.13

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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.