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Finding the Fourth Proportional to 26,380, 39,549.36 and 13,883.68

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Solution

The fourth proportional to 26,380, 39,549.36 and 13,883.68 is: 20,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380 : 39,549.36 = 13,883.68 : x
  2. Step 2: Convert to fraction form
    26,380/39,549.36 = 13,883.68/x
  3. Step 3: Cross multiply
    26,380x = 39,549.36 × 13,883.68
  4. Step 4: Simplify right side
    26,380x = 549,090,658.44
  5. Step 5: Solve for x
    x = 549,090,658.44/26,380
  6. Step 6: Final answer
    x = 20,814.66

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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.