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Finding the Fourth Proportional to 13,847.41, 19,109.63 and 7,559.65

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Solution

The fourth proportional to 13,847.41, 19,109.63 and 7,559.65 is: 10,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.41 : 19,109.63 = 7,559.65 : x
  2. Step 2: Convert to fraction form
    13,847.41/19,109.63 = 7,559.65/x
  3. Step 3: Cross multiply
    13,847.41x = 19,109.63 × 7,559.65
  4. Step 4: Simplify right side
    13,847.41x = 144,462,114.43
  5. Step 5: Solve for x
    x = 144,462,114.43/13,847.41
  6. Step 6: Final answer
    x = 10,432.43

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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.