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Finding the Fourth Proportional to 12,301.50, 18,451.98 and 3,536.40

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Solution

The fourth proportional to 12,301.50, 18,451.98 and 3,536.40 is: 5,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.50 : 18,451.98 = 3,536.40 : x
  2. Step 2: Convert to fraction form
    12,301.50/18,451.98 = 3,536.40/x
  3. Step 3: Cross multiply
    12,301.50x = 18,451.98 × 3,536.40
  4. Step 4: Simplify right side
    12,301.50x = 65,253,582.07
  5. Step 5: Solve for x
    x = 65,253,582.07/12,301.50
  6. Step 6: Final answer
    x = 5,304.52

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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.