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Finding the Fourth Proportional to 19,680, 27,157.60 and 10,727.31

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Solution

The fourth proportional to 19,680, 27,157.60 and 10,727.31 is: 14,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 27,157.60 = 10,727.31 : x
  2. Step 2: Convert to fraction form
    19,680/27,157.60 = 10,727.31/x
  3. Step 3: Cross multiply
    19,680x = 27,157.60 × 10,727.31
  4. Step 4: Simplify right side
    19,680x = 291,327,994.06
  5. Step 5: Solve for x
    x = 291,327,994.06/19,680
  6. Step 6: Final answer
    x = 14,803.25

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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.