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Finding the Fourth Proportional to 12,048.68, 16,636.74 and 8,019.38

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Solution

The fourth proportional to 12,048.68, 16,636.74 and 8,019.38 is: 11,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.68 : 16,636.74 = 8,019.38 : x
  2. Step 2: Convert to fraction form
    12,048.68/16,636.74 = 8,019.38/x
  3. Step 3: Cross multiply
    12,048.68x = 16,636.74 × 8,019.38
  4. Step 4: Simplify right side
    12,048.68x = 133,416,340.02
  5. Step 5: Solve for x
    x = 133,416,340.02/12,048.68
  6. Step 6: Final answer
    x = 11,073.11

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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.