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Finding the Fourth Proportional to 25,816.50, 35,626.77 and 14,638.50

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Solution

The fourth proportional to 25,816.50, 35,626.77 and 14,638.50 is: 20,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.50 : 35,626.77 = 14,638.50 : x
  2. Step 2: Convert to fraction form
    25,816.50/35,626.77 = 14,638.50/x
  3. Step 3: Cross multiply
    25,816.50x = 35,626.77 × 14,638.50
  4. Step 4: Simplify right side
    25,816.50x = 521,522,472.65
  5. Step 5: Solve for x
    x = 521,522,472.65/25,816.50
  6. Step 6: Final answer
    x = 20,201.13

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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.