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Finding the Fourth Proportional to 13,847.50, 19,109.49 and 7,559.86

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Solution

The fourth proportional to 13,847.50, 19,109.49 and 7,559.86 is: 10,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.50 : 19,109.49 = 7,559.86 : x
  2. Step 2: Convert to fraction form
    13,847.50/19,109.49 = 7,559.86/x
  3. Step 3: Cross multiply
    13,847.50x = 19,109.49 × 7,559.86
  4. Step 4: Simplify right side
    13,847.50x = 144,465,069.07
  5. Step 5: Solve for x
    x = 144,465,069.07/13,847.50
  6. Step 6: Final answer
    x = 10,432.57

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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.