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Finding the Fourth Proportional to 25,842.65, 35,631.56 and 20,101.77

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Solution

The fourth proportional to 25,842.65, 35,631.56 and 20,101.77 is: 27,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.65 : 35,631.56 = 20,101.77 : x
  2. Step 2: Convert to fraction form
    25,842.65/35,631.56 = 20,101.77/x
  3. Step 3: Cross multiply
    25,842.65x = 35,631.56 × 20,101.77
  4. Step 4: Simplify right side
    25,842.65x = 716,257,474.12
  5. Step 5: Solve for x
    x = 716,257,474.12/25,842.65
  6. Step 6: Final answer
    x = 27,716.11

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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.