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Finding the Fourth Proportional to 23,612.55, 35,393.85 and 7,813.50

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Solution

The fourth proportional to 23,612.55, 35,393.85 and 7,813.50 is: 11,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.55 : 35,393.85 = 7,813.50 : x
  2. Step 2: Convert to fraction form
    23,612.55/35,393.85 = 7,813.50/x
  3. Step 3: Cross multiply
    23,612.55x = 35,393.85 × 7,813.50
  4. Step 4: Simplify right side
    23,612.55x = 276,549,846.98
  5. Step 5: Solve for x
    x = 276,549,846.98/23,612.55
  6. Step 6: Final answer
    x = 11,711.99

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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.