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Finding the Fourth Proportional to 14,230.46, 19,638.03 and 7,857.05

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Solution

The fourth proportional to 14,230.46, 19,638.03 and 7,857.05 is: 10,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.46 : 19,638.03 = 7,857.05 : x
  2. Step 2: Convert to fraction form
    14,230.46/19,638.03 = 7,857.05/x
  3. Step 3: Cross multiply
    14,230.46x = 19,638.03 × 7,857.05
  4. Step 4: Simplify right side
    14,230.46x = 154,296,983.61
  5. Step 5: Solve for x
    x = 154,296,983.61/14,230.46
  6. Step 6: Final answer
    x = 10,842.73

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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.