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Finding the Fourth Proportional to 25,857.14, 35,654.93 and 23,593.60

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Solution

The fourth proportional to 25,857.14, 35,654.93 and 23,593.60 is: 32,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.14 : 35,654.93 = 23,593.60 : x
  2. Step 2: Convert to fraction form
    25,857.14/35,654.93 = 23,593.60/x
  3. Step 3: Cross multiply
    25,857.14x = 35,654.93 × 23,593.60
  4. Step 4: Simplify right side
    25,857.14x = 841,227,978.17
  5. Step 5: Solve for x
    x = 841,227,978.17/25,857.14
  6. Step 6: Final answer
    x = 32,533.68

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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.