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Finding the Fourth Proportional to 14,231.54, 21,328.94 and 6,820.58

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Solution

The fourth proportional to 14,231.54, 21,328.94 and 6,820.58 is: 10,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.54 : 21,328.94 = 6,820.58 : x
  2. Step 2: Convert to fraction form
    14,231.54/21,328.94 = 6,820.58/x
  3. Step 3: Cross multiply
    14,231.54x = 21,328.94 × 6,820.58
  4. Step 4: Simplify right side
    14,231.54x = 145,475,741.59
  5. Step 5: Solve for x
    x = 145,475,741.59/14,231.54
  6. Step 6: Final answer
    x = 10,222.07

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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.