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Finding the Fourth Proportional to 22,683.03, 31,303.38 and 12,614.32

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Solution

The fourth proportional to 22,683.03, 31,303.38 and 12,614.32 is: 17,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.03 : 31,303.38 = 12,614.32 : x
  2. Step 2: Convert to fraction form
    22,683.03/31,303.38 = 12,614.32/x
  3. Step 3: Cross multiply
    22,683.03x = 31,303.38 × 12,614.32
  4. Step 4: Simplify right side
    22,683.03x = 394,870,867.88
  5. Step 5: Solve for x
    x = 394,870,867.88/22,683.03
  6. Step 6: Final answer
    x = 17,408.21

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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.