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Finding the Fourth Proportional to 26,509.01, 39,730.68 and 13,354.20

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Solution

The fourth proportional to 26,509.01, 39,730.68 and 13,354.20 is: 20,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.01 : 39,730.68 = 13,354.20 : x
  2. Step 2: Convert to fraction form
    26,509.01/39,730.68 = 13,354.20/x
  3. Step 3: Cross multiply
    26,509.01x = 39,730.68 × 13,354.20
  4. Step 4: Simplify right side
    26,509.01x = 530,571,446.86
  5. Step 5: Solve for x
    x = 530,571,446.86/26,509.01
  6. Step 6: Final answer
    x = 20,014.76

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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.