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Finding the Fourth Proportional to 13,256.40, 19,892.60 and 5,464.40

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Solution

The fourth proportional to 13,256.40, 19,892.60 and 5,464.40 is: 8,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.40 : 19,892.60 = 5,464.40 : x
  2. Step 2: Convert to fraction form
    13,256.40/19,892.60 = 5,464.40/x
  3. Step 3: Cross multiply
    13,256.40x = 19,892.60 × 5,464.40
  4. Step 4: Simplify right side
    13,256.40x = 108,701,123.44
  5. Step 5: Solve for x
    x = 108,701,123.44/13,256.40
  6. Step 6: Final answer
    x = 8,199.90

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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.