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Finding the Fourth Proportional to 12,030.96, 18,046.23 and 3,597.48

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Solution

The fourth proportional to 12,030.96, 18,046.23 and 3,597.48 is: 5,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.96 : 18,046.23 = 3,597.48 : x
  2. Step 2: Convert to fraction form
    12,030.96/18,046.23 = 3,597.48/x
  3. Step 3: Cross multiply
    12,030.96x = 18,046.23 × 3,597.48
  4. Step 4: Simplify right side
    12,030.96x = 64,920,951.50
  5. Step 5: Solve for x
    x = 64,920,951.50/12,030.96
  6. Step 6: Final answer
    x = 5,396.16

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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.