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Finding the Fourth Proportional to 14,113.96, 21,153.50 and 7,873.64

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Solution

The fourth proportional to 14,113.96, 21,153.50 and 7,873.64 is: 11,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.96 : 21,153.50 = 7,873.64 : x
  2. Step 2: Convert to fraction form
    14,113.96/21,153.50 = 7,873.64/x
  3. Step 3: Cross multiply
    14,113.96x = 21,153.50 × 7,873.64
  4. Step 4: Simplify right side
    14,113.96x = 166,555,043.74
  5. Step 5: Solve for x
    x = 166,555,043.74/14,113.96
  6. Step 6: Final answer
    x = 11,800.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.