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Finding the Fourth Proportional to 13,143.20, 18,137.96 and 7,175

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Solution

The fourth proportional to 13,143.20, 18,137.96 and 7,175 is: 9,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.20 : 18,137.96 = 7,175 : x
  2. Step 2: Convert to fraction form
    13,143.20/18,137.96 = 7,175/x
  3. Step 3: Cross multiply
    13,143.20x = 18,137.96 × 7,175
  4. Step 4: Simplify right side
    13,143.20x = 130,139,863
  5. Step 5: Solve for x
    x = 130,139,863/13,143.20
  6. Step 6: Final answer
    x = 9,901.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.