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Finding the Fourth Proportional to 17,449.98, 24,080.94 and 9,896.46

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Solution

The fourth proportional to 17,449.98, 24,080.94 and 9,896.46 is: 13,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.98 : 24,080.94 = 9,896.46 : x
  2. Step 2: Convert to fraction form
    17,449.98/24,080.94 = 9,896.46/x
  3. Step 3: Cross multiply
    17,449.98x = 24,080.94 × 9,896.46
  4. Step 4: Simplify right side
    17,449.98x = 238,316,059.47
  5. Step 5: Solve for x
    x = 238,316,059.47/17,449.98
  6. Step 6: Final answer
    x = 13,657.10

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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.