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Finding the Fourth Proportional to 11,580.85, 17,329.75 and 10,026.20

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Solution

The fourth proportional to 11,580.85, 17,329.75 and 10,026.20 is: 15,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.85 : 17,329.75 = 10,026.20 : x
  2. Step 2: Convert to fraction form
    11,580.85/17,329.75 = 10,026.20/x
  3. Step 3: Cross multiply
    11,580.85x = 17,329.75 × 10,026.20
  4. Step 4: Simplify right side
    11,580.85x = 173,751,539.45
  5. Step 5: Solve for x
    x = 173,751,539.45/11,580.85
  6. Step 6: Final answer
    x = 15,003.35

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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.