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Finding the Fourth Proportional to 11,701.48, 17,558.70 and 10,820.20

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Solution

The fourth proportional to 11,701.48, 17,558.70 and 10,820.20 is: 16,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.48 : 17,558.70 = 10,820.20 : x
  2. Step 2: Convert to fraction form
    11,701.48/17,558.70 = 10,820.20/x
  3. Step 3: Cross multiply
    11,701.48x = 17,558.70 × 10,820.20
  4. Step 4: Simplify right side
    11,701.48x = 189,988,645.74
  5. Step 5: Solve for x
    x = 189,988,645.74/11,701.48
  6. Step 6: Final answer
    x = 16,236.29

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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.