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Finding the Fourth Proportional to 21,095.57, 29,111.85 and 11,664.06

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Solution

The fourth proportional to 21,095.57, 29,111.85 and 11,664.06 is: 16,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.57 : 29,111.85 = 11,664.06 : x
  2. Step 2: Convert to fraction form
    21,095.57/29,111.85 = 11,664.06/x
  3. Step 3: Cross multiply
    21,095.57x = 29,111.85 × 11,664.06
  4. Step 4: Simplify right side
    21,095.57x = 339,562,365.11
  5. Step 5: Solve for x
    x = 339,562,365.11/21,095.57
  6. Step 6: Final answer
    x = 16,096.39

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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.