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Finding the Fourth Proportional to 24,810.50, 34,238.49 and 13,632.50

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Solution

The fourth proportional to 24,810.50, 34,238.49 and 13,632.50 is: 18,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,810.50 : 34,238.49 = 13,632.50 : x
  2. Step 2: Convert to fraction form
    24,810.50/34,238.49 = 13,632.50/x
  3. Step 3: Cross multiply
    24,810.50x = 34,238.49 × 13,632.50
  4. Step 4: Simplify right side
    24,810.50x = 466,756,214.93
  5. Step 5: Solve for x
    x = 466,756,214.93/24,810.50
  6. Step 6: Final answer
    x = 18,812.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.