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Finding the Fourth Proportional to 34,389.64, 51,583.74 and 11,014.12

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Solution

The fourth proportional to 34,389.64, 51,583.74 and 11,014.12 is: 16,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389.64 : 51,583.74 = 11,014.12 : x
  2. Step 2: Convert to fraction form
    34,389.64/51,583.74 = 11,014.12/x
  3. Step 3: Cross multiply
    34,389.64x = 51,583.74 × 11,014.12
  4. Step 4: Simplify right side
    34,389.64x = 568,149,502.41
  5. Step 5: Solve for x
    x = 568,149,502.41/34,389.64
  6. Step 6: Final answer
    x = 16,520.95

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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.