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Finding the Fourth Proportional to 24,367.62, 36,536.58 and 9,583.50

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Solution

The fourth proportional to 24,367.62, 36,536.58 and 9,583.50 is: 14,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.62 : 36,536.58 = 9,583.50 : x
  2. Step 2: Convert to fraction form
    24,367.62/36,536.58 = 9,583.50/x
  3. Step 3: Cross multiply
    24,367.62x = 36,536.58 × 9,583.50
  4. Step 4: Simplify right side
    24,367.62x = 350,148,314.43
  5. Step 5: Solve for x
    x = 350,148,314.43/24,367.62
  6. Step 6: Final answer
    x = 14,369.41

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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.