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Finding the Fourth Proportional to 23,378.58, 35,059.64 and 6,734.16

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Solution

The fourth proportional to 23,378.58, 35,059.64 and 6,734.16 is: 10,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.58 : 35,059.64 = 6,734.16 : x
  2. Step 2: Convert to fraction form
    23,378.58/35,059.64 = 6,734.16/x
  3. Step 3: Cross multiply
    23,378.58x = 35,059.64 × 6,734.16
  4. Step 4: Simplify right side
    23,378.58x = 236,097,191.63
  5. Step 5: Solve for x
    x = 236,097,191.63/23,378.58
  6. Step 6: Final answer
    x = 10,098.87

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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.