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Finding the Fourth Proportional to 23,311.36, 34,946.04 and 8,509.88

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Solution

The fourth proportional to 23,311.36, 34,946.04 and 8,509.88 is: 12,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.36 : 34,946.04 = 8,509.88 : x
  2. Step 2: Convert to fraction form
    23,311.36/34,946.04 = 8,509.88/x
  3. Step 3: Cross multiply
    23,311.36x = 34,946.04 × 8,509.88
  4. Step 4: Simplify right side
    23,311.36x = 297,386,606.88
  5. Step 5: Solve for x
    x = 297,386,606.88/23,311.36
  6. Step 6: Final answer
    x = 12,757.15

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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.