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Finding the Fourth Proportional to 23,080.32, 34,615.12 and 9,040.64

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Solution

The fourth proportional to 23,080.32, 34,615.12 and 9,040.64 is: 13,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.32 : 34,615.12 = 9,040.64 : x
  2. Step 2: Convert to fraction form
    23,080.32/34,615.12 = 9,040.64/x
  3. Step 3: Cross multiply
    23,080.32x = 34,615.12 × 9,040.64
  4. Step 4: Simplify right side
    23,080.32x = 312,942,838.48
  5. Step 5: Solve for x
    x = 312,942,838.48/23,080.32
  6. Step 6: Final answer
    x = 13,558.86

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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.