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Finding the Fourth Proportional to 25,807.68, 35,617.32 and 15,197.09

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Solution

The fourth proportional to 25,807.68, 35,617.32 and 15,197.09 is: 20,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.68 : 35,617.32 = 15,197.09 : x
  2. Step 2: Convert to fraction form
    25,807.68/35,617.32 = 15,197.09/x
  3. Step 3: Cross multiply
    25,807.68x = 35,617.32 × 15,197.09
  4. Step 4: Simplify right side
    25,807.68x = 541,279,439.51
  5. Step 5: Solve for x
    x = 541,279,439.51/25,807.68
  6. Step 6: Final answer
    x = 20,973.58

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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.