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Finding the Fourth Proportional to 25,541.40, 38,230.02 and 13,665.54

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Solution

The fourth proportional to 25,541.40, 38,230.02 and 13,665.54 is: 20,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541.40 : 38,230.02 = 13,665.54 : x
  2. Step 2: Convert to fraction form
    25,541.40/38,230.02 = 13,665.54/x
  3. Step 3: Cross multiply
    25,541.40x = 38,230.02 × 13,665.54
  4. Step 4: Simplify right side
    25,541.40x = 522,433,867.51
  5. Step 5: Solve for x
    x = 522,433,867.51/25,541.40
  6. Step 6: Final answer
    x = 20,454.39

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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.