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Finding the Fourth Proportional to 13,875.55, 20,812.86 and 6,469.82

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Solution

The fourth proportional to 13,875.55, 20,812.86 and 6,469.82 is: 9,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.55 : 20,812.86 = 6,469.82 : x
  2. Step 2: Convert to fraction form
    13,875.55/20,812.86 = 6,469.82/x
  3. Step 3: Cross multiply
    13,875.55x = 20,812.86 × 6,469.82
  4. Step 4: Simplify right side
    13,875.55x = 134,655,353.82
  5. Step 5: Solve for x
    x = 134,655,353.82/13,875.55
  6. Step 6: Final answer
    x = 9,704.51

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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.