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Finding the Fourth Proportional to 25,323.64, 34,926.70 and 23,626

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Solution

The fourth proportional to 25,323.64, 34,926.70 and 23,626 is: 32,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.64 : 34,926.70 = 23,626 : x
  2. Step 2: Convert to fraction form
    25,323.64/34,926.70 = 23,626/x
  3. Step 3: Cross multiply
    25,323.64x = 34,926.70 × 23,626
  4. Step 4: Simplify right side
    25,323.64x = 825,178,214.20
  5. Step 5: Solve for x
    x = 825,178,214.20/25,323.64
  6. Step 6: Final answer
    x = 32,585.29

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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.