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Finding the Fourth Proportional to 26,576.64, 39,830.16 and 13,421.88

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Solution

The fourth proportional to 26,576.64, 39,830.16 and 13,421.88 is: 20,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576.64 : 39,830.16 = 13,421.88 : x
  2. Step 2: Convert to fraction form
    26,576.64/39,830.16 = 13,421.88/x
  3. Step 3: Cross multiply
    26,576.64x = 39,830.16 × 13,421.88
  4. Step 4: Simplify right side
    26,576.64x = 534,595,627.90
  5. Step 5: Solve for x
    x = 534,595,627.90/26,576.64
  6. Step 6: Final answer
    x = 20,115.25

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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.