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Finding the Fourth Proportional to 19,645.56, 29,461.65 and 7,162.65

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Solution

The fourth proportional to 19,645.56, 29,461.65 and 7,162.65 is: 10,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.56 : 29,461.65 = 7,162.65 : x
  2. Step 2: Convert to fraction form
    19,645.56/29,461.65 = 7,162.65/x
  3. Step 3: Cross multiply
    19,645.56x = 29,461.65 × 7,162.65
  4. Step 4: Simplify right side
    19,645.56x = 211,023,487.37
  5. Step 5: Solve for x
    x = 211,023,487.37/19,645.56
  6. Step 6: Final answer
    x = 10,741.54

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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.