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Finding the Fourth Proportional to 25,284.41, 37,925.19 and 7,754.19

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Solution

The fourth proportional to 25,284.41, 37,925.19 and 7,754.19 is: 11,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.41 : 37,925.19 = 7,754.19 : x
  2. Step 2: Convert to fraction form
    25,284.41/37,925.19 = 7,754.19/x
  3. Step 3: Cross multiply
    25,284.41x = 37,925.19 × 7,754.19
  4. Step 4: Simplify right side
    25,284.41x = 294,079,129.05
  5. Step 5: Solve for x
    x = 294,079,129.05/25,284.41
  6. Step 6: Final answer
    x = 11,630.85

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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.