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Finding the Fourth Proportional to 12,235.20, 16,875.18 and 8,250

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Solution

The fourth proportional to 12,235.20, 16,875.18 and 8,250 is: 11,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.20 : 16,875.18 = 8,250 : x
  2. Step 2: Convert to fraction form
    12,235.20/16,875.18 = 8,250/x
  3. Step 3: Cross multiply
    12,235.20x = 16,875.18 × 8,250
  4. Step 4: Simplify right side
    12,235.20x = 139,220,235
  5. Step 5: Solve for x
    x = 139,220,235/12,235.20
  6. Step 6: Final answer
    x = 11,378.66

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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.