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Finding the Fourth Proportional to 12,967.50, 19,434.84 and 8,285.70

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Solution

The fourth proportional to 12,967.50, 19,434.84 and 8,285.70 is: 12,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.50 : 19,434.84 = 8,285.70 : x
  2. Step 2: Convert to fraction form
    12,967.50/19,434.84 = 8,285.70/x
  3. Step 3: Cross multiply
    12,967.50x = 19,434.84 × 8,285.70
  4. Step 4: Simplify right side
    12,967.50x = 161,031,253.79
  5. Step 5: Solve for x
    x = 161,031,253.79/12,967.50
  6. Step 6: Final answer
    x = 12,418.06

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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.