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Finding the Fourth Proportional to 14,262.43, 21,384.53 and 6,852.15

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Solution

The fourth proportional to 14,262.43, 21,384.53 and 6,852.15 is: 10,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.43 : 21,384.53 = 6,852.15 : x
  2. Step 2: Convert to fraction form
    14,262.43/21,384.53 = 6,852.15/x
  3. Step 3: Cross multiply
    14,262.43x = 21,384.53 × 6,852.15
  4. Step 4: Simplify right side
    14,262.43x = 146,529,917.45
  5. Step 5: Solve for x
    x = 146,529,917.45/14,262.43
  6. Step 6: Final answer
    x = 10,273.84

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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.