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Finding the Fourth Proportional to 23,897.43, 35,851.82 and 7,258.41

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Solution

The fourth proportional to 23,897.43, 35,851.82 and 7,258.41 is: 10,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.43 : 35,851.82 = 7,258.41 : x
  2. Step 2: Convert to fraction form
    23,897.43/35,851.82 = 7,258.41/x
  3. Step 3: Cross multiply
    23,897.43x = 35,851.82 × 7,258.41
  4. Step 4: Simplify right side
    23,897.43x = 260,227,172.51
  5. Step 5: Solve for x
    x = 260,227,172.51/23,897.43
  6. Step 6: Final answer
    x = 10,889.34

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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.