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Finding the Fourth Proportional to 16,461.36, 22,716.36 and 9,386.64

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Solution

The fourth proportional to 16,461.36, 22,716.36 and 9,386.64 is: 12,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.36 : 22,716.36 = 9,386.64 : x
  2. Step 2: Convert to fraction form
    16,461.36/22,716.36 = 9,386.64/x
  3. Step 3: Cross multiply
    16,461.36x = 22,716.36 × 9,386.64
  4. Step 4: Simplify right side
    16,461.36x = 213,230,293.43
  5. Step 5: Solve for x
    x = 213,230,293.43/16,461.36
  6. Step 6: Final answer
    x = 12,953.38

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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.