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Finding the Fourth Proportional to 11,546.58, 17,298.68 and 10,301.34

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Solution

The fourth proportional to 11,546.58, 17,298.68 and 10,301.34 is: 15,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.58 : 17,298.68 = 10,301.34 : x
  2. Step 2: Convert to fraction form
    11,546.58/17,298.68 = 10,301.34/x
  3. Step 3: Cross multiply
    11,546.58x = 17,298.68 × 10,301.34
  4. Step 4: Simplify right side
    11,546.58x = 178,199,532.72
  5. Step 5: Solve for x
    x = 178,199,532.72/11,546.58
  6. Step 6: Final answer
    x = 15,433.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.