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Finding the Fourth Proportional to 25,277.84, 37,915.39 and 7,747.72

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Solution

The fourth proportional to 25,277.84, 37,915.39 and 7,747.72 is: 11,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.84 : 37,915.39 = 7,747.72 : x
  2. Step 2: Convert to fraction form
    25,277.84/37,915.39 = 7,747.72/x
  3. Step 3: Cross multiply
    25,277.84x = 37,915.39 × 7,747.72
  4. Step 4: Simplify right side
    25,277.84x = 293,757,740.31
  5. Step 5: Solve for x
    x = 293,757,740.31/25,277.84
  6. Step 6: Final answer
    x = 11,621.16

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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.