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Finding the Fourth Proportional to 16,388.16, 22,614.44 and 10,100.64

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Solution

The fourth proportional to 16,388.16, 22,614.44 and 10,100.64 is: 13,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.16 : 22,614.44 = 10,100.64 : x
  2. Step 2: Convert to fraction form
    16,388.16/22,614.44 = 10,100.64/x
  3. Step 3: Cross multiply
    16,388.16x = 22,614.44 × 10,100.64
  4. Step 4: Simplify right side
    16,388.16x = 228,420,317.24
  5. Step 5: Solve for x
    x = 228,420,317.24/16,388.16
  6. Step 6: Final answer
    x = 13,938.13

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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.