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Finding the Fourth Proportional to 27,796.10, 41,657.29 and 14,657.77

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Solution

The fourth proportional to 27,796.10, 41,657.29 and 14,657.77 is: 21,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.10 : 41,657.29 = 14,657.77 : x
  2. Step 2: Convert to fraction form
    27,796.10/41,657.29 = 14,657.77/x
  3. Step 3: Cross multiply
    27,796.10x = 41,657.29 × 14,657.77
  4. Step 4: Simplify right side
    27,796.10x = 610,602,975.64
  5. Step 5: Solve for x
    x = 610,602,975.64/27,796.10
  6. Step 6: Final answer
    x = 21,967.22

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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.