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Finding the Fourth Proportional to 12,982.34, 17,915.62 and 7,014.00

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Solution

The fourth proportional to 12,982.34, 17,915.62 and 7,014.00 is: 9,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.34 : 17,915.62 = 7,014.00 : x
  2. Step 2: Convert to fraction form
    12,982.34/17,915.62 = 7,014.00/x
  3. Step 3: Cross multiply
    12,982.34x = 17,915.62 × 7,014.00
  4. Step 4: Simplify right side
    12,982.34x = 125,660,234.63
  5. Step 5: Solve for x
    x = 125,660,234.63/12,982.34
  6. Step 6: Final answer
    x = 9,679.32

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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.