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Finding the Fourth Proportional to 14,691.96, 20,274.75 and 7,977.68

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Solution

The fourth proportional to 14,691.96, 20,274.75 and 7,977.68 is: 11,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.96 : 20,274.75 = 7,977.68 : x
  2. Step 2: Convert to fraction form
    14,691.96/20,274.75 = 7,977.68/x
  3. Step 3: Cross multiply
    14,691.96x = 20,274.75 × 7,977.68
  4. Step 4: Simplify right side
    14,691.96x = 161,745,366.21
  5. Step 5: Solve for x
    x = 161,745,366.21/14,691.96
  6. Step 6: Final answer
    x = 11,009.11

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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.