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Finding the Fourth Proportional to 26,577.92, 36,676.19 and 14,641

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Solution

The fourth proportional to 26,577.92, 36,676.19 and 14,641 is: 20,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577.92 : 36,676.19 = 14,641 : x
  2. Step 2: Convert to fraction form
    26,577.92/36,676.19 = 14,641/x
  3. Step 3: Cross multiply
    26,577.92x = 36,676.19 × 14,641
  4. Step 4: Simplify right side
    26,577.92x = 536,976,097.79
  5. Step 5: Solve for x
    x = 536,976,097.79/26,577.92
  6. Step 6: Final answer
    x = 20,203.84

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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.