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Finding the Fourth Proportional to 12,030.50, 18,034.82 and 4,630.24

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Solution

The fourth proportional to 12,030.50, 18,034.82 and 4,630.24 is: 6,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.50 : 18,034.82 = 4,630.24 : x
  2. Step 2: Convert to fraction form
    12,030.50/18,034.82 = 4,630.24/x
  3. Step 3: Cross multiply
    12,030.50x = 18,034.82 × 4,630.24
  4. Step 4: Simplify right side
    12,030.50x = 83,505,544.96
  5. Step 5: Solve for x
    x = 83,505,544.96/12,030.50
  6. Step 6: Final answer
    x = 6,941.15

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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.