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Finding the Fourth Proportional to 23,610.20, 32,582.99 and 13,000.82

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Solution

The fourth proportional to 23,610.20, 32,582.99 and 13,000.82 is: 17,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,610.20 : 32,582.99 = 13,000.82 : x
  2. Step 2: Convert to fraction form
    23,610.20/32,582.99 = 13,000.82/x
  3. Step 3: Cross multiply
    23,610.20x = 32,582.99 × 13,000.82
  4. Step 4: Simplify right side
    23,610.20x = 423,605,457.64
  5. Step 5: Solve for x
    x = 423,605,457.64/23,610.20
  6. Step 6: Final answer
    x = 17,941.63

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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.