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Finding the Fourth Proportional to 12,315.96, 18,395.34 and 11,144.16

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Solution

The fourth proportional to 12,315.96, 18,395.34 and 11,144.16 is: 16,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.96 : 18,395.34 = 11,144.16 : x
  2. Step 2: Convert to fraction form
    12,315.96/18,395.34 = 11,144.16/x
  3. Step 3: Cross multiply
    12,315.96x = 18,395.34 × 11,144.16
  4. Step 4: Simplify right side
    12,315.96x = 205,000,612.21
  5. Step 5: Solve for x
    x = 205,000,612.21/12,315.96
  6. Step 6: Final answer
    x = 16,645.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.