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Finding the Fourth Proportional to 16,381.39, 22,606.21 and 9,307.81

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Solution

The fourth proportional to 16,381.39, 22,606.21 and 9,307.81 is: 12,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.39 : 22,606.21 = 9,307.81 : x
  2. Step 2: Convert to fraction form
    16,381.39/22,606.21 = 9,307.81/x
  3. Step 3: Cross multiply
    16,381.39x = 22,606.21 × 9,307.81
  4. Step 4: Simplify right side
    16,381.39x = 210,414,373.57
  5. Step 5: Solve for x
    x = 210,414,373.57/16,381.39
  6. Step 6: Final answer
    x = 12,844.72

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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.