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Finding the Fourth Proportional to 16,637, 22,959.09 and 9,185

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Solution

The fourth proportional to 16,637, 22,959.09 and 9,185 is: 12,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,637 : 22,959.09 = 9,185 : x
  2. Step 2: Convert to fraction form
    16,637/22,959.09 = 9,185/x
  3. Step 3: Cross multiply
    16,637x = 22,959.09 × 9,185
  4. Step 4: Simplify right side
    16,637x = 210,879,241.65
  5. Step 5: Solve for x
    x = 210,879,241.65/16,637
  6. Step 6: Final answer
    x = 12,675.32

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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.