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Finding the Fourth Proportional to 26,446.84, 36,499 and 14,512.50

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Solution

The fourth proportional to 26,446.84, 36,499 and 14,512.50 is: 20,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446.84 : 36,499 = 14,512.50 : x
  2. Step 2: Convert to fraction form
    26,446.84/36,499 = 14,512.50/x
  3. Step 3: Cross multiply
    26,446.84x = 36,499 × 14,512.50
  4. Step 4: Simplify right side
    26,446.84x = 529,691,737.50
  5. Step 5: Solve for x
    x = 529,691,737.50/26,446.84
  6. Step 6: Final answer
    x = 20,028.55

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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.