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Finding the Fourth Proportional to 21,830.09, 32,745.32 and 11,963.99

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Solution

The fourth proportional to 21,830.09, 32,745.32 and 11,963.99 is: 17,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.09 : 32,745.32 = 11,963.99 : x
  2. Step 2: Convert to fraction form
    21,830.09/32,745.32 = 11,963.99/x
  3. Step 3: Cross multiply
    21,830.09x = 32,745.32 × 11,963.99
  4. Step 4: Simplify right side
    21,830.09x = 391,764,457.48
  5. Step 5: Solve for x
    x = 391,764,457.48/21,830.09
  6. Step 6: Final answer
    x = 17,946.08

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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.