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Finding the Fourth Proportional to 25,145.64, 37,696.86 and 9,574.44

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Solution

The fourth proportional to 25,145.64, 37,696.86 and 9,574.44 is: 14,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.64 : 37,696.86 = 9,574.44 : x
  2. Step 2: Convert to fraction form
    25,145.64/37,696.86 = 9,574.44/x
  3. Step 3: Cross multiply
    25,145.64x = 37,696.86 × 9,574.44
  4. Step 4: Simplify right side
    25,145.64x = 360,926,324.26
  5. Step 5: Solve for x
    x = 360,926,324.26/25,145.64
  6. Step 6: Final answer
    x = 14,353.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.