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Finding the Fourth Proportional to 23,284.91, 34,933.26 and 6,645

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Solution

The fourth proportional to 23,284.91, 34,933.26 and 6,645 is: 9,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.91 : 34,933.26 = 6,645 : x
  2. Step 2: Convert to fraction form
    23,284.91/34,933.26 = 6,645/x
  3. Step 3: Cross multiply
    23,284.91x = 34,933.26 × 6,645
  4. Step 4: Simplify right side
    23,284.91x = 232,131,479.48
  5. Step 5: Solve for x
    x = 232,131,479.48/23,284.91
  6. Step 6: Final answer
    x = 9,969.18

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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.