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Finding the Fourth Proportional to 12,705.12, 19,062.54 and 4,914

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Solution

The fourth proportional to 12,705.12, 19,062.54 and 4,914 is: 7,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.12 : 19,062.54 = 4,914 : x
  2. Step 2: Convert to fraction form
    12,705.12/19,062.54 = 4,914/x
  3. Step 3: Cross multiply
    12,705.12x = 19,062.54 × 4,914
  4. Step 4: Simplify right side
    12,705.12x = 93,673,321.56
  5. Step 5: Solve for x
    x = 93,673,321.56/12,705.12
  6. Step 6: Final answer
    x = 7,372.88

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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.