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Finding the Fourth Proportional to 18,477.42, 27,718.56 and 6,798.84

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Solution

The fourth proportional to 18,477.42, 27,718.56 and 6,798.84 is: 10,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.42 : 27,718.56 = 6,798.84 : x
  2. Step 2: Convert to fraction form
    18,477.42/27,718.56 = 6,798.84/x
  3. Step 3: Cross multiply
    18,477.42x = 27,718.56 × 6,798.84
  4. Step 4: Simplify right side
    18,477.42x = 188,454,054.47
  5. Step 5: Solve for x
    x = 188,454,054.47/18,477.42
  6. Step 6: Final answer
    x = 10,199.15

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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.