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Finding the Fourth Proportional to 16,586.50, 22,889.38 and 9,134.50

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Solution

The fourth proportional to 16,586.50, 22,889.38 and 9,134.50 is: 12,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.50 : 22,889.38 = 9,134.50 : x
  2. Step 2: Convert to fraction form
    16,586.50/22,889.38 = 9,134.50/x
  3. Step 3: Cross multiply
    16,586.50x = 22,889.38 × 9,134.50
  4. Step 4: Simplify right side
    16,586.50x = 209,083,041.61
  5. Step 5: Solve for x
    x = 209,083,041.61/16,586.50
  6. Step 6: Final answer
    x = 12,605.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.