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Finding the Fourth Proportional to 25,225.28, 37,824.95 and 13,548.32

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Solution

The fourth proportional to 25,225.28, 37,824.95 and 13,548.32 is: 20,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.28 : 37,824.95 = 13,548.32 : x
  2. Step 2: Convert to fraction form
    25,225.28/37,824.95 = 13,548.32/x
  3. Step 3: Cross multiply
    25,225.28x = 37,824.95 × 13,548.32
  4. Step 4: Simplify right side
    25,225.28x = 512,464,371.33
  5. Step 5: Solve for x
    x = 512,464,371.33/25,225.28
  6. Step 6: Final answer
    x = 20,315.51

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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.