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Finding the Fourth Proportional to 21,825.86, 32,708.00 and 9,950.45

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Solution

The fourth proportional to 21,825.86, 32,708.00 and 9,950.45 is: 14,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.86 : 32,708.00 = 9,950.45 : x
  2. Step 2: Convert to fraction form
    21,825.86/32,708.00 = 9,950.45/x
  3. Step 3: Cross multiply
    21,825.86x = 32,708.00 × 9,950.45
  4. Step 4: Simplify right side
    21,825.86x = 325,459,179.94
  5. Step 5: Solve for x
    x = 325,459,179.94/21,825.86
  6. Step 6: Final answer
    x = 14,911.63

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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.