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Finding the Fourth Proportional to 16,347.36, 22,558.77 and 9,275.16

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Solution

The fourth proportional to 16,347.36, 22,558.77 and 9,275.16 is: 12,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.36 : 22,558.77 = 9,275.16 : x
  2. Step 2: Convert to fraction form
    16,347.36/22,558.77 = 9,275.16/x
  3. Step 3: Cross multiply
    16,347.36x = 22,558.77 × 9,275.16
  4. Step 4: Simplify right side
    16,347.36x = 209,236,201.15
  5. Step 5: Solve for x
    x = 209,236,201.15/16,347.36
  6. Step 6: Final answer
    x = 12,799.39

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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.