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Finding the Fourth Proportional to 17,741.38, 24,457.65 and 13,958.00

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Solution

The fourth proportional to 17,741.38, 24,457.65 and 13,958.00 is: 19,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.38 : 24,457.65 = 13,958.00 : x
  2. Step 2: Convert to fraction form
    17,741.38/24,457.65 = 13,958.00/x
  3. Step 3: Cross multiply
    17,741.38x = 24,457.65 × 13,958.00
  4. Step 4: Simplify right side
    17,741.38x = 341,379,727.00
  5. Step 5: Solve for x
    x = 341,379,727.00/17,741.38
  6. Step 6: Final answer
    x = 19,242.01

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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.