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Finding the Fourth Proportional to 12,182.17, 18,262.29 and 4,385.50

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Solution

The fourth proportional to 12,182.17, 18,262.29 and 4,385.50 is: 6,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.17 : 18,262.29 = 4,385.50 : x
  2. Step 2: Convert to fraction form
    12,182.17/18,262.29 = 4,385.50/x
  3. Step 3: Cross multiply
    12,182.17x = 18,262.29 × 4,385.50
  4. Step 4: Simplify right side
    12,182.17x = 80,089,272.80
  5. Step 5: Solve for x
    x = 80,089,272.80/12,182.17
  6. Step 6: Final answer
    x = 6,574.30

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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.