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Finding the Fourth Proportional to 25,893.71, 35,729.17 and 14,563.17

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Solution

The fourth proportional to 25,893.71, 35,729.17 and 14,563.17 is: 20,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.71 : 35,729.17 = 14,563.17 : x
  2. Step 2: Convert to fraction form
    25,893.71/35,729.17 = 14,563.17/x
  3. Step 3: Cross multiply
    25,893.71x = 35,729.17 × 14,563.17
  4. Step 4: Simplify right side
    25,893.71x = 520,329,976.67
  5. Step 5: Solve for x
    x = 520,329,976.67/25,893.71
  6. Step 6: Final answer
    x = 20,094.84

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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.