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Finding the Fourth Proportional to 24,816.50, 34,246.77 and 13,638.50

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Solution

The fourth proportional to 24,816.50, 34,246.77 and 13,638.50 is: 18,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816.50 : 34,246.77 = 13,638.50 : x
  2. Step 2: Convert to fraction form
    24,816.50/34,246.77 = 13,638.50/x
  3. Step 3: Cross multiply
    24,816.50x = 34,246.77 × 13,638.50
  4. Step 4: Simplify right side
    24,816.50x = 467,074,572.65
  5. Step 5: Solve for x
    x = 467,074,572.65/24,816.50
  6. Step 6: Final answer
    x = 18,821.13

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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.