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Finding the Fourth Proportional to 23,897.28, 35,843.59 and 7,257.45

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Solution

The fourth proportional to 23,897.28, 35,843.59 and 7,257.45 is: 10,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.28 : 35,843.59 = 7,257.45 : x
  2. Step 2: Convert to fraction form
    23,897.28/35,843.59 = 7,257.45/x
  3. Step 3: Cross multiply
    23,897.28x = 35,843.59 × 7,257.45
  4. Step 4: Simplify right side
    23,897.28x = 260,132,983.70
  5. Step 5: Solve for x
    x = 260,132,983.70/23,897.28
  6. Step 6: Final answer
    x = 10,885.46

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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.