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Finding the Fourth Proportional to 23,834.90, 32,825.58 and 23,318.32

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Solution

The fourth proportional to 23,834.90, 32,825.58 and 23,318.32 is: 32,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.90 : 32,825.58 = 23,318.32 : x
  2. Step 2: Convert to fraction form
    23,834.90/32,825.58 = 23,318.32/x
  3. Step 3: Cross multiply
    23,834.90x = 32,825.58 × 23,318.32
  4. Step 4: Simplify right side
    23,834.90x = 765,437,378.63
  5. Step 5: Solve for x
    x = 765,437,378.63/23,834.90
  6. Step 6: Final answer
    x = 32,114.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.