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Finding the Fourth Proportional to 17,458.48, 24,090.87 and 9,902.40

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Solution

The fourth proportional to 17,458.48, 24,090.87 and 9,902.40 is: 13,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.48 : 24,090.87 = 9,902.40 : x
  2. Step 2: Convert to fraction form
    17,458.48/24,090.87 = 9,902.40/x
  3. Step 3: Cross multiply
    17,458.48x = 24,090.87 × 9,902.40
  4. Step 4: Simplify right side
    17,458.48x = 238,557,431.09
  5. Step 5: Solve for x
    x = 238,557,431.09/17,458.48
  6. Step 6: Final answer
    x = 13,664.27

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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.