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Finding the Fourth Proportional to 13,778.12, 20,665.24 and 4,541

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Solution

The fourth proportional to 13,778.12, 20,665.24 and 4,541 is: 6,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.12 : 20,665.24 = 4,541 : x
  2. Step 2: Convert to fraction form
    13,778.12/20,665.24 = 4,541/x
  3. Step 3: Cross multiply
    13,778.12x = 20,665.24 × 4,541
  4. Step 4: Simplify right side
    13,778.12x = 93,840,854.84
  5. Step 5: Solve for x
    x = 93,840,854.84/13,778.12
  6. Step 6: Final answer
    x = 6,810.86

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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.