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Finding the Fourth Proportional to 15,172.94, 22,759.41 and 4,785.50

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Solution

The fourth proportional to 15,172.94, 22,759.41 and 4,785.50 is: 7,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.94 : 22,759.41 = 4,785.50 : x
  2. Step 2: Convert to fraction form
    15,172.94/22,759.41 = 4,785.50/x
  3. Step 3: Cross multiply
    15,172.94x = 22,759.41 × 4,785.50
  4. Step 4: Simplify right side
    15,172.94x = 108,915,156.56
  5. Step 5: Solve for x
    x = 108,915,156.56/15,172.94
  6. Step 6: Final answer
    x = 7,178.25

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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.