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Finding the Fourth Proportional to 21,116, 29,140.29 and 11,684.77

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Solution

The fourth proportional to 21,116, 29,140.29 and 11,684.77 is: 16,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116 : 29,140.29 = 11,684.77 : x
  2. Step 2: Convert to fraction form
    21,116/29,140.29 = 11,684.77/x
  3. Step 3: Cross multiply
    21,116x = 29,140.29 × 11,684.77
  4. Step 4: Simplify right side
    21,116x = 340,497,440.68
  5. Step 5: Solve for x
    x = 340,497,440.68/21,116
  6. Step 6: Final answer
    x = 16,125.09

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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.