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Finding the Fourth Proportional to 12,835.31, 17,712.53 and 7,170.14

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Solution

The fourth proportional to 12,835.31, 17,712.53 and 7,170.14 is: 9,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.31 : 17,712.53 = 7,170.14 : x
  2. Step 2: Convert to fraction form
    12,835.31/17,712.53 = 7,170.14/x
  3. Step 3: Cross multiply
    12,835.31x = 17,712.53 × 7,170.14
  4. Step 4: Simplify right side
    12,835.31x = 127,001,195.44
  5. Step 5: Solve for x
    x = 127,001,195.44/12,835.31
  6. Step 6: Final answer
    x = 9,894.68

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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.