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Finding the Fourth Proportional to 14,648.40, 20,214.74 and 7,933.86

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Solution

The fourth proportional to 14,648.40, 20,214.74 and 7,933.86 is: 10,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.40 : 20,214.74 = 7,933.86 : x
  2. Step 2: Convert to fraction form
    14,648.40/20,214.74 = 7,933.86/x
  3. Step 3: Cross multiply
    14,648.40x = 20,214.74 × 7,933.86
  4. Step 4: Simplify right side
    14,648.40x = 160,380,917.10
  5. Step 5: Solve for x
    x = 160,380,917.10/14,648.40
  6. Step 6: Final answer
    x = 10,948.70

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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.