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Finding the Fourth Proportional to 12,673.80, 19,005.23 and 9,754.16

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Solution

The fourth proportional to 12,673.80, 19,005.23 and 9,754.16 is: 14,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.80 : 19,005.23 = 9,754.16 : x
  2. Step 2: Convert to fraction form
    12,673.80/19,005.23 = 9,754.16/x
  3. Step 3: Cross multiply
    12,673.80x = 19,005.23 × 9,754.16
  4. Step 4: Simplify right side
    12,673.80x = 185,379,983.62
  5. Step 5: Solve for x
    x = 185,379,983.62/12,673.80
  6. Step 6: Final answer
    x = 14,627.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.