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Finding the Fourth Proportional to 13,447.84, 20,145.76 and 6,527.20

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Solution

The fourth proportional to 13,447.84, 20,145.76 and 6,527.20 is: 9,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.84 : 20,145.76 = 6,527.20 : x
  2. Step 2: Convert to fraction form
    13,447.84/20,145.76 = 6,527.20/x
  3. Step 3: Cross multiply
    13,447.84x = 20,145.76 × 6,527.20
  4. Step 4: Simplify right side
    13,447.84x = 131,495,404.67
  5. Step 5: Solve for x
    x = 131,495,404.67/13,447.84
  6. Step 6: Final answer
    x = 9,778.18

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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.