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Finding the Fourth Proportional to 16,690.39, 23,031.95 and 9,136.13

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Solution

The fourth proportional to 16,690.39, 23,031.95 and 9,136.13 is: 12,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.39 : 23,031.95 = 9,136.13 : x
  2. Step 2: Convert to fraction form
    16,690.39/23,031.95 = 9,136.13/x
  3. Step 3: Cross multiply
    16,690.39x = 23,031.95 × 9,136.13
  4. Step 4: Simplify right side
    16,690.39x = 210,422,728.51
  5. Step 5: Solve for x
    x = 210,422,728.51/16,690.39
  6. Step 6: Final answer
    x = 12,607.42

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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.