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Finding the Fourth Proportional to 13,782.27, 19,019.43 and 7,494.65

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Solution

The fourth proportional to 13,782.27, 19,019.43 and 7,494.65 is: 10,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.27 : 19,019.43 = 7,494.65 : x
  2. Step 2: Convert to fraction form
    13,782.27/19,019.43 = 7,494.65/x
  3. Step 3: Cross multiply
    13,782.27x = 19,019.43 × 7,494.65
  4. Step 4: Simplify right side
    13,782.27x = 142,543,875.95
  5. Step 5: Solve for x
    x = 142,543,875.95/13,782.27
  6. Step 6: Final answer
    x = 10,342.55

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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.