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Finding the Fourth Proportional to 23,867.64, 35,798.70 and 6,338.84

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Solution

The fourth proportional to 23,867.64, 35,798.70 and 6,338.84 is: 9,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.64 : 35,798.70 = 6,338.84 : x
  2. Step 2: Convert to fraction form
    23,867.64/35,798.70 = 6,338.84/x
  3. Step 3: Cross multiply
    23,867.64x = 35,798.70 × 6,338.84
  4. Step 4: Simplify right side
    23,867.64x = 226,922,231.51
  5. Step 5: Solve for x
    x = 226,922,231.51/23,867.64
  6. Step 6: Final answer
    x = 9,507.53

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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.