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Finding the Fourth Proportional to 12,983.20, 17,916.82 and 7,014.88

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Solution

The fourth proportional to 12,983.20, 17,916.82 and 7,014.88 is: 9,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.20 : 17,916.82 = 7,014.88 : x
  2. Step 2: Convert to fraction form
    12,983.20/17,916.82 = 7,014.88/x
  3. Step 3: Cross multiply
    12,983.20x = 17,916.82 × 7,014.88
  4. Step 4: Simplify right side
    12,983.20x = 125,684,347.14
  5. Step 5: Solve for x
    x = 125,684,347.14/12,983.20
  6. Step 6: Final answer
    x = 9,680.54

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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.