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Finding the Fourth Proportional to 12,597.76, 18,891.16 and 3,830.62

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Solution

The fourth proportional to 12,597.76, 18,891.16 and 3,830.62 is: 5,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.76 : 18,891.16 = 3,830.62 : x
  2. Step 2: Convert to fraction form
    12,597.76/18,891.16 = 3,830.62/x
  3. Step 3: Cross multiply
    12,597.76x = 18,891.16 × 3,830.62
  4. Step 4: Simplify right side
    12,597.76x = 72,364,855.32
  5. Step 5: Solve for x
    x = 72,364,855.32/12,597.76
  6. Step 6: Final answer
    x = 5,744.26

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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.