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Finding the Fourth Proportional to 15,131.16, 22,695 and 4,038.60

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Solution

The fourth proportional to 15,131.16, 22,695 and 4,038.60 is: 6,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.16 : 22,695 = 4,038.60 : x
  2. Step 2: Convert to fraction form
    15,131.16/22,695 = 4,038.60/x
  3. Step 3: Cross multiply
    15,131.16x = 22,695 × 4,038.60
  4. Step 4: Simplify right side
    15,131.16x = 91,656,027
  5. Step 5: Solve for x
    x = 91,656,027/15,131.16
  6. Step 6: Final answer
    x = 6,057.44

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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.