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Finding the Fourth Proportional to 21,513.64, 29,689.83 and 11,953.54

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Solution

The fourth proportional to 21,513.64, 29,689.83 and 11,953.54 is: 16,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.64 : 29,689.83 = 11,953.54 : x
  2. Step 2: Convert to fraction form
    21,513.64/29,689.83 = 11,953.54/x
  3. Step 3: Cross multiply
    21,513.64x = 29,689.83 × 11,953.54
  4. Step 4: Simplify right side
    21,513.64x = 354,898,570.50
  5. Step 5: Solve for x
    x = 354,898,570.50/21,513.64
  6. Step 6: Final answer
    x = 16,496.44

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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.