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Finding the Fourth Proportional to 23,897.91, 35,825.90 and 9,096.98

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Solution

The fourth proportional to 23,897.91, 35,825.90 and 9,096.98 is: 13,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.91 : 35,825.90 = 9,096.98 : x
  2. Step 2: Convert to fraction form
    23,897.91/35,825.90 = 9,096.98/x
  3. Step 3: Cross multiply
    23,897.91x = 35,825.90 × 9,096.98
  4. Step 4: Simplify right side
    23,897.91x = 325,907,495.78
  5. Step 5: Solve for x
    x = 325,907,495.78/23,897.91
  6. Step 6: Final answer
    x = 13,637.49

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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.