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Finding the Fourth Proportional to 14,814.10, 22,213.95 and 8,233.30

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Solution

The fourth proportional to 14,814.10, 22,213.95 and 8,233.30 is: 12,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.10 : 22,213.95 = 8,233.30 : x
  2. Step 2: Convert to fraction form
    14,814.10/22,213.95 = 8,233.30/x
  3. Step 3: Cross multiply
    14,814.10x = 22,213.95 × 8,233.30
  4. Step 4: Simplify right side
    14,814.10x = 182,894,114.54
  5. Step 5: Solve for x
    x = 182,894,114.54/14,814.10
  6. Step 6: Final answer
    x = 12,345.95

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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.