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Finding the Fourth Proportional to 22,936, 31,652.16 and 13,000

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Solution

The fourth proportional to 22,936, 31,652.16 and 13,000 is: 17,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936 : 31,652.16 = 13,000 : x
  2. Step 2: Convert to fraction form
    22,936/31,652.16 = 13,000/x
  3. Step 3: Cross multiply
    22,936x = 31,652.16 × 13,000
  4. Step 4: Simplify right side
    22,936x = 411,478,080
  5. Step 5: Solve for x
    x = 411,478,080/22,936
  6. Step 6: Final answer
    x = 17,940.27

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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.