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Finding the Fourth Proportional to 13,438.62, 20,155.29 and 12,771.84

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Solution

The fourth proportional to 13,438.62, 20,155.29 and 12,771.84 is: 19,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.62 : 20,155.29 = 12,771.84 : x
  2. Step 2: Convert to fraction form
    13,438.62/20,155.29 = 12,771.84/x
  3. Step 3: Cross multiply
    13,438.62x = 20,155.29 × 12,771.84
  4. Step 4: Simplify right side
    13,438.62x = 257,420,038.26
  5. Step 5: Solve for x
    x = 257,420,038.26/13,438.62
  6. Step 6: Final answer
    x = 19,155.25

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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.