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Finding the Fourth Proportional to 13,189.71, 19,782.44 and 4,873.65

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Solution

The fourth proportional to 13,189.71, 19,782.44 and 4,873.65 is: 7,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.71 : 19,782.44 = 4,873.65 : x
  2. Step 2: Convert to fraction form
    13,189.71/19,782.44 = 4,873.65/x
  3. Step 3: Cross multiply
    13,189.71x = 19,782.44 × 4,873.65
  4. Step 4: Simplify right side
    13,189.71x = 96,412,688.71
  5. Step 5: Solve for x
    x = 96,412,688.71/13,189.71
  6. Step 6: Final answer
    x = 7,309.69

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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.