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Finding the Fourth Proportional to 12,341.50, 17,031.27 and 6,752.50

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Solution

The fourth proportional to 12,341.50, 17,031.27 and 6,752.50 is: 9,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.50 : 17,031.27 = 6,752.50 : x
  2. Step 2: Convert to fraction form
    12,341.50/17,031.27 = 6,752.50/x
  3. Step 3: Cross multiply
    12,341.50x = 17,031.27 × 6,752.50
  4. Step 4: Simplify right side
    12,341.50x = 115,003,650.68
  5. Step 5: Solve for x
    x = 115,003,650.68/12,341.50
  6. Step 6: Final answer
    x = 9,318.45

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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.