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Finding the Fourth Proportional to 14,697.47, 20,282.65 and 7,983.16

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Solution

The fourth proportional to 14,697.47, 20,282.65 and 7,983.16 is: 11,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.47 : 20,282.65 = 7,983.16 : x
  2. Step 2: Convert to fraction form
    14,697.47/20,282.65 = 7,983.16/x
  3. Step 3: Cross multiply
    14,697.47x = 20,282.65 × 7,983.16
  4. Step 4: Simplify right side
    14,697.47x = 161,919,538.76
  5. Step 5: Solve for x
    x = 161,919,538.76/14,697.47
  6. Step 6: Final answer
    x = 11,016.83

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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.