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Finding the Fourth Proportional to 13,527.61, 20,286.25 and 6,503.19

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Solution

The fourth proportional to 13,527.61, 20,286.25 and 6,503.19 is: 9,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.61 : 20,286.25 = 6,503.19 : x
  2. Step 2: Convert to fraction form
    13,527.61/20,286.25 = 6,503.19/x
  3. Step 3: Cross multiply
    13,527.61x = 20,286.25 × 6,503.19
  4. Step 4: Simplify right side
    13,527.61x = 131,925,245.81
  5. Step 5: Solve for x
    x = 131,925,245.81/13,527.61
  6. Step 6: Final answer
    x = 9,752.30

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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.