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Finding the Fourth Proportional to 26,505.84, 36,585 and 16,428.54

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Solution

The fourth proportional to 26,505.84, 36,585 and 16,428.54 is: 22,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.84 : 36,585 = 16,428.54 : x
  2. Step 2: Convert to fraction form
    26,505.84/36,585 = 16,428.54/x
  3. Step 3: Cross multiply
    26,505.84x = 36,585 × 16,428.54
  4. Step 4: Simplify right side
    26,505.84x = 601,038,135.90
  5. Step 5: Solve for x
    x = 601,038,135.90/26,505.84
  6. Step 6: Final answer
    x = 22,675.69

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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.