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Finding the Fourth Proportional to 16,246.92, 22,432.50 and 10,674.12

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Solution

The fourth proportional to 16,246.92, 22,432.50 and 10,674.12 is: 14,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.92 : 22,432.50 = 10,674.12 : x
  2. Step 2: Convert to fraction form
    16,246.92/22,432.50 = 10,674.12/x
  3. Step 3: Cross multiply
    16,246.92x = 22,432.50 × 10,674.12
  4. Step 4: Simplify right side
    16,246.92x = 239,447,196.90
  5. Step 5: Solve for x
    x = 239,447,196.90/16,246.92
  6. Step 6: Final answer
    x = 14,738.01

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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.