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Finding the Fourth Proportional to 11,526.20, 17,250.42 and 9,582.20

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Solution

The fourth proportional to 11,526.20, 17,250.42 and 9,582.20 is: 14,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.20 : 17,250.42 = 9,582.20 : x
  2. Step 2: Convert to fraction form
    11,526.20/17,250.42 = 9,582.20/x
  3. Step 3: Cross multiply
    11,526.20x = 17,250.42 × 9,582.20
  4. Step 4: Simplify right side
    11,526.20x = 165,296,974.52
  5. Step 5: Solve for x
    x = 165,296,974.52/11,526.20
  6. Step 6: Final answer
    x = 14,340.98

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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.