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Finding the Fourth Proportional to 17,928.72, 24,741.45 and 9,971.37

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Solution

The fourth proportional to 17,928.72, 24,741.45 and 9,971.37 is: 13,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.72 : 24,741.45 = 9,971.37 : x
  2. Step 2: Convert to fraction form
    17,928.72/24,741.45 = 9,971.37/x
  3. Step 3: Cross multiply
    17,928.72x = 24,741.45 × 9,971.37
  4. Step 4: Simplify right side
    17,928.72x = 246,706,152.29
  5. Step 5: Solve for x
    x = 246,706,152.29/17,928.72
  6. Step 6: Final answer
    x = 13,760.39

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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.