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Finding the Fourth Proportional to 14,003.68, 21,005.84 and 4,142.96

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Solution

The fourth proportional to 14,003.68, 21,005.84 and 4,142.96 is: 6,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.68 : 21,005.84 = 4,142.96 : x
  2. Step 2: Convert to fraction form
    14,003.68/21,005.84 = 4,142.96/x
  3. Step 3: Cross multiply
    14,003.68x = 21,005.84 × 4,142.96
  4. Step 4: Simplify right side
    14,003.68x = 87,026,354.89
  5. Step 5: Solve for x
    x = 87,026,354.89/14,003.68
  6. Step 6: Final answer
    x = 6,214.53

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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.