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Finding the Fourth Proportional to 27,857.68, 38,417.90 and 25,845.64

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Solution

The fourth proportional to 27,857.68, 38,417.90 and 25,845.64 is: 35,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.68 : 38,417.90 = 25,845.64 : x
  2. Step 2: Convert to fraction form
    27,857.68/38,417.90 = 25,845.64/x
  3. Step 3: Cross multiply
    27,857.68x = 38,417.90 × 25,845.64
  4. Step 4: Simplify right side
    27,857.68x = 992,935,212.96
  5. Step 5: Solve for x
    x = 992,935,212.96/27,857.68
  6. Step 6: Final answer
    x = 35,643.14

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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.