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Finding the Fourth Proportional to 23,378.64, 35,062.80 and 6,735

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Solution

The fourth proportional to 23,378.64, 35,062.80 and 6,735 is: 10,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.64 : 35,062.80 = 6,735 : x
  2. Step 2: Convert to fraction form
    23,378.64/35,062.80 = 6,735/x
  3. Step 3: Cross multiply
    23,378.64x = 35,062.80 × 6,735
  4. Step 4: Simplify right side
    23,378.64x = 236,147,958.00
  5. Step 5: Solve for x
    x = 236,147,958.00/23,378.64
  6. Step 6: Final answer
    x = 10,101.01

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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.