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Finding the Fourth Proportional to 13,527.22, 20,269.90 and 9,375.34

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Solution

The fourth proportional to 13,527.22, 20,269.90 and 9,375.34 is: 14,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.22 : 20,269.90 = 9,375.34 : x
  2. Step 2: Convert to fraction form
    13,527.22/20,269.90 = 9,375.34/x
  3. Step 3: Cross multiply
    13,527.22x = 20,269.90 × 9,375.34
  4. Step 4: Simplify right side
    13,527.22x = 190,037,130.15
  5. Step 5: Solve for x
    x = 190,037,130.15/13,527.22
  6. Step 6: Final answer
    x = 14,048.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.