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Finding the Fourth Proportional to 13,688.26, 20,532.38 and 3,300

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Solution

The fourth proportional to 13,688.26, 20,532.38 and 3,300 is: 4,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.26 : 20,532.38 = 3,300 : x
  2. Step 2: Convert to fraction form
    13,688.26/20,532.38 = 3,300/x
  3. Step 3: Cross multiply
    13,688.26x = 20,532.38 × 3,300
  4. Step 4: Simplify right side
    13,688.26x = 67,756,854
  5. Step 5: Solve for x
    x = 67,756,854/13,688.26
  6. Step 6: Final answer
    x = 4,950.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.