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Finding the Fourth Proportional to 24,142.34, 36,204.63 and 8,343.38

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Solution

The fourth proportional to 24,142.34, 36,204.63 and 8,343.38 is: 12,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.34 : 36,204.63 = 8,343.38 : x
  2. Step 2: Convert to fraction form
    24,142.34/36,204.63 = 8,343.38/x
  3. Step 3: Cross multiply
    24,142.34x = 36,204.63 × 8,343.38
  4. Step 4: Simplify right side
    24,142.34x = 302,068,985.85
  5. Step 5: Solve for x
    x = 302,068,985.85/24,142.34
  6. Step 6: Final answer
    x = 12,512.00

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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.