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Finding the Fourth Proportional to 14,662.96, 20,234.95 and 7,948.58

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Solution

The fourth proportional to 14,662.96, 20,234.95 and 7,948.58 is: 10,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.96 : 20,234.95 = 7,948.58 : x
  2. Step 2: Convert to fraction form
    14,662.96/20,234.95 = 7,948.58/x
  3. Step 3: Cross multiply
    14,662.96x = 20,234.95 × 7,948.58
  4. Step 4: Simplify right side
    14,662.96x = 160,838,997.82
  5. Step 5: Solve for x
    x = 160,838,997.82/14,662.96
  6. Step 6: Final answer
    x = 10,969.07

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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.