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Finding the Fourth Proportional to 13,759.74, 20,622.24 and 7,506.72

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Solution

The fourth proportional to 13,759.74, 20,622.24 and 7,506.72 is: 11,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.74 : 20,622.24 = 7,506.72 : x
  2. Step 2: Convert to fraction form
    13,759.74/20,622.24 = 7,506.72/x
  3. Step 3: Cross multiply
    13,759.74x = 20,622.24 × 7,506.72
  4. Step 4: Simplify right side
    13,759.74x = 154,805,381.45
  5. Step 5: Solve for x
    x = 154,805,381.45/13,759.74
  6. Step 6: Final answer
    x = 11,250.60

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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.