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Finding the Fourth Proportional to 24,311.34, 36,465.12 and 9,523.62

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Solution

The fourth proportional to 24,311.34, 36,465.12 and 9,523.62 is: 14,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.34 : 36,465.12 = 9,523.62 : x
  2. Step 2: Convert to fraction form
    24,311.34/36,465.12 = 9,523.62/x
  3. Step 3: Cross multiply
    24,311.34x = 36,465.12 × 9,523.62
  4. Step 4: Simplify right side
    24,311.34x = 347,279,946.13
  5. Step 5: Solve for x
    x = 347,279,946.13/24,311.34
  6. Step 6: Final answer
    x = 14,284.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.