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Finding the Fourth Proportional to 26,575.60, 36,674.80 and 14,638.80

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Solution

The fourth proportional to 26,575.60, 36,674.80 and 14,638.80 is: 20,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,575.60 : 36,674.80 = 14,638.80 : x
  2. Step 2: Convert to fraction form
    26,575.60/36,674.80 = 14,638.80/x
  3. Step 3: Cross multiply
    26,575.60x = 36,674.80 × 14,638.80
  4. Step 4: Simplify right side
    26,575.60x = 536,875,062.24
  5. Step 5: Solve for x
    x = 536,875,062.24/26,575.60
  6. Step 6: Final answer
    x = 20,201.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.