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Finding the Fourth Proportional to 16,553, 22,843.14 and 10,964

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Solution

The fourth proportional to 16,553, 22,843.14 and 10,964 is: 15,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553 : 22,843.14 = 10,964 : x
  2. Step 2: Convert to fraction form
    16,553/22,843.14 = 10,964/x
  3. Step 3: Cross multiply
    16,553x = 22,843.14 × 10,964
  4. Step 4: Simplify right side
    16,553x = 250,452,186.96
  5. Step 5: Solve for x
    x = 250,452,186.96/16,553
  6. Step 6: Final answer
    x = 15,130.32

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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.