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Finding the Fourth Proportional to 17,645.38, 24,345.87 and 10,090.15

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Solution

The fourth proportional to 17,645.38, 24,345.87 and 10,090.15 is: 13,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.38 : 24,345.87 = 10,090.15 : x
  2. Step 2: Convert to fraction form
    17,645.38/24,345.87 = 10,090.15/x
  3. Step 3: Cross multiply
    17,645.38x = 24,345.87 × 10,090.15
  4. Step 4: Simplify right side
    17,645.38x = 245,653,381.48
  5. Step 5: Solve for x
    x = 245,653,381.48/17,645.38
  6. Step 6: Final answer
    x = 13,921.68

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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.