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Finding the Fourth Proportional to 17,386.96, 23,996.04 and 9,836.40

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Solution

The fourth proportional to 17,386.96, 23,996.04 and 9,836.40 is: 13,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386.96 : 23,996.04 = 9,836.40 : x
  2. Step 2: Convert to fraction form
    17,386.96/23,996.04 = 9,836.40/x
  3. Step 3: Cross multiply
    17,386.96x = 23,996.04 × 9,836.40
  4. Step 4: Simplify right side
    17,386.96x = 236,034,647.86
  5. Step 5: Solve for x
    x = 236,034,647.86/17,386.96
  6. Step 6: Final answer
    x = 13,575.38

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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.