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Finding the Fourth Proportional to 13,415.38, 20,152.23 and 9,041.38

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Solution

The fourth proportional to 13,415.38, 20,152.23 and 9,041.38 is: 13,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.38 : 20,152.23 = 9,041.38 : x
  2. Step 2: Convert to fraction form
    13,415.38/20,152.23 = 9,041.38/x
  3. Step 3: Cross multiply
    13,415.38x = 20,152.23 × 9,041.38
  4. Step 4: Simplify right side
    13,415.38x = 182,203,969.28
  5. Step 5: Solve for x
    x = 182,203,969.28/13,415.38
  6. Step 6: Final answer
    x = 13,581.72

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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.