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Finding the Fourth Proportional to 17,741.69, 24,484.79 and 10,189.25

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Solution

The fourth proportional to 17,741.69, 24,484.79 and 10,189.25 is: 14,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.69 : 24,484.79 = 10,189.25 : x
  2. Step 2: Convert to fraction form
    17,741.69/24,484.79 = 10,189.25/x
  3. Step 3: Cross multiply
    17,741.69x = 24,484.79 × 10,189.25
  4. Step 4: Simplify right side
    17,741.69x = 249,481,646.51
  5. Step 5: Solve for x
    x = 249,481,646.51/17,741.69
  6. Step 6: Final answer
    x = 14,061.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.