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Finding the Fourth Proportional to 26,744.72, 36,908.12 and 14,645

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Solution

The fourth proportional to 26,744.72, 36,908.12 and 14,645 is: 20,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744.72 : 36,908.12 = 14,645 : x
  2. Step 2: Convert to fraction form
    26,744.72/36,908.12 = 14,645/x
  3. Step 3: Cross multiply
    26,744.72x = 36,908.12 × 14,645
  4. Step 4: Simplify right side
    26,744.72x = 540,519,417.40
  5. Step 5: Solve for x
    x = 540,519,417.40/26,744.72
  6. Step 6: Final answer
    x = 20,210.32

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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.