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Finding the Fourth Proportional to 16,158.50, 22,299.63 and 9,085.37

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Solution

The fourth proportional to 16,158.50, 22,299.63 and 9,085.37 is: 12,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.50 : 22,299.63 = 9,085.37 : x
  2. Step 2: Convert to fraction form
    16,158.50/22,299.63 = 9,085.37/x
  3. Step 3: Cross multiply
    16,158.50x = 22,299.63 × 9,085.37
  4. Step 4: Simplify right side
    16,158.50x = 202,600,389.41
  5. Step 5: Solve for x
    x = 202,600,389.41/16,158.50
  6. Step 6: Final answer
    x = 12,538.32

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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.