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Finding the Fourth Proportional to 25,653.89, 38,479.28 and 7,884.71

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Solution

The fourth proportional to 25,653.89, 38,479.28 and 7,884.71 is: 11,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.89 : 38,479.28 = 7,884.71 : x
  2. Step 2: Convert to fraction form
    25,653.89/38,479.28 = 7,884.71/x
  3. Step 3: Cross multiply
    25,653.89x = 38,479.28 × 7,884.71
  4. Step 4: Simplify right side
    25,653.89x = 303,397,963.81
  5. Step 5: Solve for x
    x = 303,397,963.81/25,653.89
  6. Step 6: Final answer
    x = 11,826.59

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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.