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Finding the Fourth Proportional to 16,299.38, 22,491.74 and 9,492.35

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Solution

The fourth proportional to 16,299.38, 22,491.74 and 9,492.35 is: 13,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.38 : 22,491.74 = 9,492.35 : x
  2. Step 2: Convert to fraction form
    16,299.38/22,491.74 = 9,492.35/x
  3. Step 3: Cross multiply
    16,299.38x = 22,491.74 × 9,492.35
  4. Step 4: Simplify right side
    16,299.38x = 213,499,379.46
  5. Step 5: Solve for x
    x = 213,499,379.46/16,299.38
  6. Step 6: Final answer
    x = 13,098.62

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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.