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Finding the Fourth Proportional to 17,283.98, 23,852.43 and 9,832.46

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Solution

The fourth proportional to 17,283.98, 23,852.43 and 9,832.46 is: 13,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.98 : 23,852.43 = 9,832.46 : x
  2. Step 2: Convert to fraction form
    17,283.98/23,852.43 = 9,832.46/x
  3. Step 3: Cross multiply
    17,283.98x = 23,852.43 × 9,832.46
  4. Step 4: Simplify right side
    17,283.98x = 234,528,063.88
  5. Step 5: Solve for x
    x = 234,528,063.88/17,283.98
  6. Step 6: Final answer
    x = 13,569.10

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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.