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Finding the Fourth Proportional to 23,643.10, 35,465.27 and 6,112.88

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Solution

The fourth proportional to 23,643.10, 35,465.27 and 6,112.88 is: 9,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.10 : 35,465.27 = 6,112.88 : x
  2. Step 2: Convert to fraction form
    23,643.10/35,465.27 = 6,112.88/x
  3. Step 3: Cross multiply
    23,643.10x = 35,465.27 × 6,112.88
  4. Step 4: Simplify right side
    23,643.10x = 216,794,731.79
  5. Step 5: Solve for x
    x = 216,794,731.79/23,643.10
  6. Step 6: Final answer
    x = 9,169.47

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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.