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Finding the Fourth Proportional to 15,170.94, 22,756.41 and 4,783.50

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Solution

The fourth proportional to 15,170.94, 22,756.41 and 4,783.50 is: 7,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.94 : 22,756.41 = 4,783.50 : x
  2. Step 2: Convert to fraction form
    15,170.94/22,756.41 = 4,783.50/x
  3. Step 3: Cross multiply
    15,170.94x = 22,756.41 × 4,783.50
  4. Step 4: Simplify right side
    15,170.94x = 108,855,287.24
  5. Step 5: Solve for x
    x = 108,855,287.24/15,170.94
  6. Step 6: Final answer
    x = 7,175.25

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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.