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Finding the Fourth Proportional to 18,646.01, 25,731.01 and 10,148.30

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Solution

The fourth proportional to 18,646.01, 25,731.01 and 10,148.30 is: 14,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.01 : 25,731.01 = 10,148.30 : x
  2. Step 2: Convert to fraction form
    18,646.01/25,731.01 = 10,148.30/x
  3. Step 3: Cross multiply
    18,646.01x = 25,731.01 × 10,148.30
  4. Step 4: Simplify right side
    18,646.01x = 261,126,008.78
  5. Step 5: Solve for x
    x = 261,126,008.78/18,646.01
  6. Step 6: Final answer
    x = 14,004.39

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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.