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Finding the Fourth Proportional to 17,699.65, 24,425.89 and 9,741.90

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Solution

The fourth proportional to 17,699.65, 24,425.89 and 9,741.90 is: 13,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.65 : 24,425.89 = 9,741.90 : x
  2. Step 2: Convert to fraction form
    17,699.65/24,425.89 = 9,741.90/x
  3. Step 3: Cross multiply
    17,699.65x = 24,425.89 × 9,741.90
  4. Step 4: Simplify right side
    17,699.65x = 237,954,645.03
  5. Step 5: Solve for x
    x = 237,954,645.03/17,699.65
  6. Step 6: Final answer
    x = 13,444.03

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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.