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Finding the Fourth Proportional to 17,851, 24,634.02 and 9,893.16

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Solution

The fourth proportional to 17,851, 24,634.02 and 9,893.16 is: 13,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851 : 24,634.02 = 9,893.16 : x
  2. Step 2: Convert to fraction form
    17,851/24,634.02 = 9,893.16/x
  3. Step 3: Cross multiply
    17,851x = 24,634.02 × 9,893.16
  4. Step 4: Simplify right side
    17,851x = 243,708,301.30
  5. Step 5: Solve for x
    x = 243,708,301.30/17,851
  6. Step 6: Final answer
    x = 13,652.36

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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.