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Finding the Fourth Proportional to 14,697.88, 20,283.24 and 7,983.58

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Solution

The fourth proportional to 14,697.88, 20,283.24 and 7,983.58 is: 11,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.88 : 20,283.24 = 7,983.58 : x
  2. Step 2: Convert to fraction form
    14,697.88/20,283.24 = 7,983.58/x
  3. Step 3: Cross multiply
    14,697.88x = 20,283.24 × 7,983.58
  4. Step 4: Simplify right side
    14,697.88x = 161,932,869.20
  5. Step 5: Solve for x
    x = 161,932,869.20/14,697.88
  6. Step 6: Final answer
    x = 11,017.43

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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.