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Finding the Fourth Proportional to 17,447.52, 24,072.14 and 9,893.25

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Solution

The fourth proportional to 17,447.52, 24,072.14 and 9,893.25 is: 13,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.52 : 24,072.14 = 9,893.25 : x
  2. Step 2: Convert to fraction form
    17,447.52/24,072.14 = 9,893.25/x
  3. Step 3: Cross multiply
    17,447.52x = 24,072.14 × 9,893.25
  4. Step 4: Simplify right side
    17,447.52x = 238,151,699.06
  5. Step 5: Solve for x
    x = 238,151,699.06/17,447.52
  6. Step 6: Final answer
    x = 13,649.60

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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.