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Finding the Fourth Proportional to 23,311.35, 34,946.03 and 8,509.88

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Solution

The fourth proportional to 23,311.35, 34,946.03 and 8,509.88 is: 12,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.35 : 34,946.03 = 8,509.88 : x
  2. Step 2: Convert to fraction form
    23,311.35/34,946.03 = 8,509.88/x
  3. Step 3: Cross multiply
    23,311.35x = 34,946.03 × 8,509.88
  4. Step 4: Simplify right side
    23,311.35x = 297,386,521.78
  5. Step 5: Solve for x
    x = 297,386,521.78/23,311.35
  6. Step 6: Final answer
    x = 12,757.16

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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.