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Finding the Fourth Proportional to 25,402.64, 35,072.75 and 15,857.06

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Solution

The fourth proportional to 25,402.64, 35,072.75 and 15,857.06 is: 21,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.64 : 35,072.75 = 15,857.06 : x
  2. Step 2: Convert to fraction form
    25,402.64/35,072.75 = 15,857.06/x
  3. Step 3: Cross multiply
    25,402.64x = 35,072.75 × 15,857.06
  4. Step 4: Simplify right side
    25,402.64x = 556,150,446.47
  5. Step 5: Solve for x
    x = 556,150,446.47/25,402.64
  6. Step 6: Final answer
    x = 21,893.42

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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.