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Finding the Fourth Proportional to 26,142.60, 39,230.70 and 14,464.20

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Solution

The fourth proportional to 26,142.60, 39,230.70 and 14,464.20 is: 21,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.60 : 39,230.70 = 14,464.20 : x
  2. Step 2: Convert to fraction form
    26,142.60/39,230.70 = 14,464.20/x
  3. Step 3: Cross multiply
    26,142.60x = 39,230.70 × 14,464.20
  4. Step 4: Simplify right side
    26,142.60x = 567,440,690.94
  5. Step 5: Solve for x
    x = 567,440,690.94/26,142.60
  6. Step 6: Final answer
    x = 21,705.60

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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.