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Finding the Fourth Proportional to 17,546.32, 24,205.80 and 10,090

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Solution

The fourth proportional to 17,546.32, 24,205.80 and 10,090 is: 13,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.32 : 24,205.80 = 10,090 : x
  2. Step 2: Convert to fraction form
    17,546.32/24,205.80 = 10,090/x
  3. Step 3: Cross multiply
    17,546.32x = 24,205.80 × 10,090
  4. Step 4: Simplify right side
    17,546.32x = 244,236,522
  5. Step 5: Solve for x
    x = 244,236,522/17,546.32
  6. Step 6: Final answer
    x = 13,919.53

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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.