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Finding the Fourth Proportional to 16,936, 23,371.68 and 9,484.16

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Solution

The fourth proportional to 16,936, 23,371.68 and 9,484.16 is: 13,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936 : 23,371.68 = 9,484.16 : x
  2. Step 2: Convert to fraction form
    16,936/23,371.68 = 9,484.16/x
  3. Step 3: Cross multiply
    16,936x = 23,371.68 × 9,484.16
  4. Step 4: Simplify right side
    16,936x = 221,660,752.59
  5. Step 5: Solve for x
    x = 221,660,752.59/16,936
  6. Step 6: Final answer
    x = 13,088.14

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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.