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Finding the Fourth Proportional to 13,130.54, 19,649.55 and 8,202.50

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Solution

The fourth proportional to 13,130.54, 19,649.55 and 8,202.50 is: 12,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.54 : 19,649.55 = 8,202.50 : x
  2. Step 2: Convert to fraction form
    13,130.54/19,649.55 = 8,202.50/x
  3. Step 3: Cross multiply
    13,130.54x = 19,649.55 × 8,202.50
  4. Step 4: Simplify right side
    13,130.54x = 161,175,433.88
  5. Step 5: Solve for x
    x = 161,175,433.88/13,130.54
  6. Step 6: Final answer
    x = 12,274.85

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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.