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Finding the Fourth Proportional to 37,270.36, 55,915.26 and 13,897

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Solution

The fourth proportional to 37,270.36, 55,915.26 and 13,897 is: 20,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.36 : 55,915.26 = 13,897 : x
  2. Step 2: Convert to fraction form
    37,270.36/55,915.26 = 13,897/x
  3. Step 3: Cross multiply
    37,270.36x = 55,915.26 × 13,897
  4. Step 4: Simplify right side
    37,270.36x = 777,054,368.22
  5. Step 5: Solve for x
    x = 777,054,368.22/37,270.36
  6. Step 6: Final answer
    x = 20,849.12

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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.