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Finding the Fourth Proportional to 19,784.92, 27,303.18 and 10,832.42

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Solution

The fourth proportional to 19,784.92, 27,303.18 and 10,832.42 is: 14,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.92 : 27,303.18 = 10,832.42 : x
  2. Step 2: Convert to fraction form
    19,784.92/27,303.18 = 10,832.42/x
  3. Step 3: Cross multiply
    19,784.92x = 27,303.18 × 10,832.42
  4. Step 4: Simplify right side
    19,784.92x = 295,759,468.39
  5. Step 5: Solve for x
    x = 295,759,468.39/19,784.92
  6. Step 6: Final answer
    x = 14,948.73

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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.