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Finding the Fourth Proportional to 25,211.44, 37,817.88 and 7,681.28

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Solution

The fourth proportional to 25,211.44, 37,817.88 and 7,681.28 is: 11,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.44 : 37,817.88 = 7,681.28 : x
  2. Step 2: Convert to fraction form
    25,211.44/37,817.88 = 7,681.28/x
  3. Step 3: Cross multiply
    25,211.44x = 37,817.88 × 7,681.28
  4. Step 4: Simplify right side
    25,211.44x = 290,489,725.29
  5. Step 5: Solve for x
    x = 290,489,725.29/25,211.44
  6. Step 6: Final answer
    x = 11,522.14

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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.