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Finding the Fourth Proportional to 25,846.47, 35,665.46 and 14,517.20

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Solution

The fourth proportional to 25,846.47, 35,665.46 and 14,517.20 is: 20,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.47 : 35,665.46 = 14,517.20 : x
  2. Step 2: Convert to fraction form
    25,846.47/35,665.46 = 14,517.20/x
  3. Step 3: Cross multiply
    25,846.47x = 35,665.46 × 14,517.20
  4. Step 4: Simplify right side
    25,846.47x = 517,762,615.91
  5. Step 5: Solve for x
    x = 517,762,615.91/25,846.47
  6. Step 6: Final answer
    x = 20,032.24

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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.