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Finding the Fourth Proportional to 16,090.42, 22,206 and 10,127.20

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Solution

The fourth proportional to 16,090.42, 22,206 and 10,127.20 is: 13,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.42 : 22,206 = 10,127.20 : x
  2. Step 2: Convert to fraction form
    16,090.42/22,206 = 10,127.20/x
  3. Step 3: Cross multiply
    16,090.42x = 22,206 × 10,127.20
  4. Step 4: Simplify right side
    16,090.42x = 224,884,603.20
  5. Step 5: Solve for x
    x = 224,884,603.20/16,090.42
  6. Step 6: Final answer
    x = 13,976.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.