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Finding the Fourth Proportional to 25,769.32, 38,605.02 and 23,023.72

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Solution

The fourth proportional to 25,769.32, 38,605.02 and 23,023.72 is: 34,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.32 : 38,605.02 = 23,023.72 : x
  2. Step 2: Convert to fraction form
    25,769.32/38,605.02 = 23,023.72/x
  3. Step 3: Cross multiply
    25,769.32x = 38,605.02 × 23,023.72
  4. Step 4: Simplify right side
    25,769.32x = 888,831,171.07
  5. Step 5: Solve for x
    x = 888,831,171.07/25,769.32
  6. Step 6: Final answer
    x = 34,491.84

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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.